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Finding the Third Proportional to 114,543.75 and 251,670

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Solution

The third proportional to 114,543.75 and 251,670 is: 552,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,543.75 : 251,670 = 251,670 : x
  2. Step 2: Convert to fraction form
    114,543.75/251,670 = 251,670/x
  3. Step 3: Cross multiply
    114,543.75x = 251,670 × 251,670
  4. Step 4: Simplify right side
    114,543.75x = 63,337,788,900
  5. Step 5: Solve for x
    x = 63,337,788,900/114,543.75
  6. Step 6: Final answer
    x = 552,957.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.