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Finding the Third Proportional to 158,743.13 and 243,172.13

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Solution

The third proportional to 158,743.13 and 243,172.13 is: 372,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,743.13 : 243,172.13 = 243,172.13 : x
  2. Step 2: Convert to fraction form
    158,743.13/243,172.13 = 243,172.13/x
  3. Step 3: Cross multiply
    158,743.13x = 243,172.13 × 243,172.13
  4. Step 4: Simplify right side
    158,743.13x = 59,132,682,377.02
  5. Step 5: Solve for x
    x = 59,132,682,377.02/158,743.13
  6. Step 6: Final answer
    x = 372,505.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.