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Finding the Third Proportional to 114,652.13 and 251,721

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Solution

The third proportional to 114,652.13 and 251,721 is: 552,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,652.13 : 251,721 = 251,721 : x
  2. Step 2: Convert to fraction form
    114,652.13/251,721 = 251,721/x
  3. Step 3: Cross multiply
    114,652.13x = 251,721 × 251,721
  4. Step 4: Simplify right side
    114,652.13x = 63,363,461,841
  5. Step 5: Solve for x
    x = 63,363,461,841/114,652.13
  6. Step 6: Final answer
    x = 552,658.42

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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.