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Finding the Third Proportional to 200,897 and 272,842

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Solution

The third proportional to 200,897 and 272,842 is: 370,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,897 : 272,842 = 272,842 : x
  2. Step 2: Convert to fraction form
    200,897/272,842 = 272,842/x
  3. Step 3: Cross multiply
    200,897x = 272,842 × 272,842
  4. Step 4: Simplify right side
    200,897x = 74,442,756,964
  5. Step 5: Solve for x
    x = 74,442,756,964/200,897
  6. Step 6: Final answer
    x = 370,551.86

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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.