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Finding the Third Proportional to 114,561.25 and 251,537

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Solution

The third proportional to 114,561.25 and 251,537 is: 552,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,561.25 : 251,537 = 251,537 : x
  2. Step 2: Convert to fraction form
    114,561.25/251,537 = 251,537/x
  3. Step 3: Cross multiply
    114,561.25x = 251,537 × 251,537
  4. Step 4: Simplify right side
    114,561.25x = 63,270,862,369
  5. Step 5: Solve for x
    x = 63,270,862,369/114,561.25
  6. Step 6: Final answer
    x = 552,288.51

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