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Finding the Third Proportional to 200,866.22 and 272,494.13

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Solution

The third proportional to 200,866.22 and 272,494.13 is: 369,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.22 : 272,494.13 = 272,494.13 : x
  2. Step 2: Convert to fraction form
    200,866.22/272,494.13 = 272,494.13/x
  3. Step 3: Cross multiply
    200,866.22x = 272,494.13 × 272,494.13
  4. Step 4: Simplify right side
    200,866.22x = 74,253,048,159.52
  5. Step 5: Solve for x
    x = 74,253,048,159.52/200,866.22
  6. Step 6: Final answer
    x = 369,664.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.