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Finding the Third Proportional to 111,665.25 and 243,013.50

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Solution

The third proportional to 111,665.25 and 243,013.50 is: 528,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,665.25 : 243,013.50 = 243,013.50 : x
  2. Step 2: Convert to fraction form
    111,665.25/243,013.50 = 243,013.50/x
  3. Step 3: Cross multiply
    111,665.25x = 243,013.50 × 243,013.50
  4. Step 4: Simplify right side
    111,665.25x = 59,055,561,182.25
  5. Step 5: Solve for x
    x = 59,055,561,182.25/111,665.25
  6. Step 6: Final answer
    x = 528,862.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.