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Finding the Third Proportional to 110,941.75 and 243,001.50

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Solution

The third proportional to 110,941.75 and 243,001.50 is: 532,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,941.75 : 243,001.50 = 243,001.50 : x
  2. Step 2: Convert to fraction form
    110,941.75/243,001.50 = 243,001.50/x
  3. Step 3: Cross multiply
    110,941.75x = 243,001.50 × 243,001.50
  4. Step 4: Simplify right side
    110,941.75x = 59,049,729,002.25
  5. Step 5: Solve for x
    x = 59,049,729,002.25/110,941.75
  6. Step 6: Final answer
    x = 532,258.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.