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Finding the Third Proportional to 116,471.25 and 251,984.25

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Solution

The third proportional to 116,471.25 and 251,984.25 is: 545,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,471.25 : 251,984.25 = 251,984.25 : x
  2. Step 2: Convert to fraction form
    116,471.25/251,984.25 = 251,984.25/x
  3. Step 3: Cross multiply
    116,471.25x = 251,984.25 × 251,984.25
  4. Step 4: Simplify right side
    116,471.25x = 63,496,062,248.06
  5. Step 5: Solve for x
    x = 63,496,062,248.06/116,471.25
  6. Step 6: Final answer
    x = 545,165.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.