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Finding the Third Proportional to 116,024 and 253,352

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Solution

The third proportional to 116,024 and 253,352 is: 553,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,024 : 253,352 = 253,352 : x
  2. Step 2: Convert to fraction form
    116,024/253,352 = 253,352/x
  3. Step 3: Cross multiply
    116,024x = 253,352 × 253,352
  4. Step 4: Simplify right side
    116,024x = 64,187,235,904
  5. Step 5: Solve for x
    x = 64,187,235,904/116,024
  6. Step 6: Final answer
    x = 553,223.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.