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Finding the Third Proportional to 115,954.66 and 251,737.56

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Solution

The third proportional to 115,954.66 and 251,737.56 is: 546,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,954.66 : 251,737.56 = 251,737.56 : x
  2. Step 2: Convert to fraction form
    115,954.66/251,737.56 = 251,737.56/x
  3. Step 3: Cross multiply
    115,954.66x = 251,737.56 × 251,737.56
  4. Step 4: Simplify right side
    115,954.66x = 63,371,798,406.74
  5. Step 5: Solve for x
    x = 63,371,798,406.74/115,954.66
  6. Step 6: Final answer
    x = 546,522.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.