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Finding the Third Proportional to 111,270.38 and 243,862.31

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Solution

The third proportional to 111,270.38 and 243,862.31 is: 534,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,270.38 : 243,862.31 = 243,862.31 : x
  2. Step 2: Convert to fraction form
    111,270.38/243,862.31 = 243,862.31/x
  3. Step 3: Cross multiply
    111,270.38x = 243,862.31 × 243,862.31
  4. Step 4: Simplify right side
    111,270.38x = 59,468,827,457.85
  5. Step 5: Solve for x
    x = 59,468,827,457.85/111,270.38
  6. Step 6: Final answer
    x = 534,453.38

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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.