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Finding the Third Proportional to 110,941.13 and 243,000.38

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Solution

The third proportional to 110,941.13 and 243,000.38 is: 532,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,941.13 : 243,000.38 = 243,000.38 : x
  2. Step 2: Convert to fraction form
    110,941.13/243,000.38 = 243,000.38/x
  3. Step 3: Cross multiply
    110,941.13x = 243,000.38 × 243,000.38
  4. Step 4: Simplify right side
    110,941.13x = 59,049,182,250.14
  5. Step 5: Solve for x
    x = 59,049,182,250.14/110,941.13
  6. Step 6: Final answer
    x = 532,256.93

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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.