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Finding the Third Proportional to 252,137.18 and 539,949.80

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Solution

The third proportional to 252,137.18 and 539,949.80 is: 1,156,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,137.18 : 539,949.80 = 539,949.80 : x
  2. Step 2: Convert to fraction form
    252,137.18/539,949.80 = 539,949.80/x
  3. Step 3: Cross multiply
    252,137.18x = 539,949.80 × 539,949.80
  4. Step 4: Simplify right side
    252,137.18x = 291,545,783,145.35
  5. Step 5: Solve for x
    x = 291,545,783,145.35/252,137.18
  6. Step 6: Final answer
    x = 1,156,298.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.