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Finding the Third Proportional to 116,938.69 and 272,823.19

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Solution

The third proportional to 116,938.69 and 272,823.19 is: 636,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,938.69 : 272,823.19 = 272,823.19 : x
  2. Step 2: Convert to fraction form
    116,938.69/272,823.19 = 272,823.19/x
  3. Step 3: Cross multiply
    116,938.69x = 272,823.19 × 272,823.19
  4. Step 4: Simplify right side
    116,938.69x = 74,432,491,637.66
  5. Step 5: Solve for x
    x = 74,432,491,637.66/116,938.69
  6. Step 6: Final answer
    x = 636,508.70

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.