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Finding the Third Proportional to 224,855.44 and 345,966.19

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Solution

The third proportional to 224,855.44 and 345,966.19 is: 532,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,855.44 : 345,966.19 = 345,966.19 : x
  2. Step 2: Convert to fraction form
    224,855.44/345,966.19 = 345,966.19/x
  3. Step 3: Cross multiply
    224,855.44x = 345,966.19 × 345,966.19
  4. Step 4: Simplify right side
    224,855.44x = 119,692,602,893.29
  5. Step 5: Solve for x
    x = 119,692,602,893.29/224,855.44
  6. Step 6: Final answer
    x = 532,309.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.