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Finding the Third Proportional to 110,941.31 and 243,001.13

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Solution

The third proportional to 110,941.31 and 243,001.13 is: 532,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,941.31 : 243,001.13 = 243,001.13 : x
  2. Step 2: Convert to fraction form
    110,941.31/243,001.13 = 243,001.13/x
  3. Step 3: Cross multiply
    110,941.31x = 243,001.13 × 243,001.13
  4. Step 4: Simplify right side
    110,941.31x = 59,049,546,751.27
  5. Step 5: Solve for x
    x = 59,049,546,751.27/110,941.31
  6. Step 6: Final answer
    x = 532,259.31

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Why These Related Problems?

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