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Finding the Third Proportional to 116,883 and 252,459

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Solution

The third proportional to 116,883 and 252,459 is: 545,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,883 : 252,459 = 252,459 : x
  2. Step 2: Convert to fraction form
    116,883/252,459 = 252,459/x
  3. Step 3: Cross multiply
    116,883x = 252,459 × 252,459
  4. Step 4: Simplify right side
    116,883x = 63,735,546,681
  5. Step 5: Solve for x
    x = 63,735,546,681/116,883
  6. Step 6: Final answer
    x = 545,293.56

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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.