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Finding the Third Proportional to 218,269.13 and 326,059.13

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Solution

The third proportional to 218,269.13 and 326,059.13 is: 487,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,269.13 : 326,059.13 = 326,059.13 : x
  2. Step 2: Convert to fraction form
    218,269.13/326,059.13 = 326,059.13/x
  3. Step 3: Cross multiply
    218,269.13x = 326,059.13 × 326,059.13
  4. Step 4: Simplify right side
    218,269.13x = 106,314,552,995.77
  5. Step 5: Solve for x
    x = 106,314,552,995.77/218,269.13
  6. Step 6: Final answer
    x = 487,080.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.