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Finding the Third Proportional to 222,841.13 and 473,293.13

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Solution

The third proportional to 222,841.13 and 473,293.13 is: 1,005,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,841.13 : 473,293.13 = 473,293.13 : x
  2. Step 2: Convert to fraction form
    222,841.13/473,293.13 = 473,293.13/x
  3. Step 3: Cross multiply
    222,841.13x = 473,293.13 × 473,293.13
  4. Step 4: Simplify right side
    222,841.13x = 224,006,382,172.27
  5. Step 5: Solve for x
    x = 224,006,382,172.27/222,841.13
  6. Step 6: Final answer
    x = 1,005,229.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.