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Finding the Third Proportional to 116,919 and 252,522

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Solution

The third proportional to 116,919 and 252,522 is: 545,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,919 : 252,522 = 252,522 : x
  2. Step 2: Convert to fraction form
    116,919/252,522 = 252,522/x
  3. Step 3: Cross multiply
    116,919x = 252,522 × 252,522
  4. Step 4: Simplify right side
    116,919x = 63,767,360,484
  5. Step 5: Solve for x
    x = 63,767,360,484/116,919
  6. Step 6: Final answer
    x = 545,397.76

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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.