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Finding the Third Proportional to 110,865.38 and 243,192.38

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Solution

The third proportional to 110,865.38 and 243,192.38 is: 533,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,865.38 : 243,192.38 = 243,192.38 : x
  2. Step 2: Convert to fraction form
    110,865.38/243,192.38 = 243,192.38/x
  3. Step 3: Cross multiply
    110,865.38x = 243,192.38 × 243,192.38
  4. Step 4: Simplify right side
    110,865.38x = 59,142,531,258.14
  5. Step 5: Solve for x
    x = 59,142,531,258.14/110,865.38
  6. Step 6: Final answer
    x = 533,462.60

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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.