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Finding the Third Proportional to 116,991 and 252,432

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Solution

The third proportional to 116,991 and 252,432 is: 544,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,991 : 252,432 = 252,432 : x
  2. Step 2: Convert to fraction form
    116,991/252,432 = 252,432/x
  3. Step 3: Cross multiply
    116,991x = 252,432 × 252,432
  4. Step 4: Simplify right side
    116,991x = 63,721,914,624
  5. Step 5: Solve for x
    x = 63,721,914,624/116,991
  6. Step 6: Final answer
    x = 544,673.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.