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Finding the Third Proportional to 157,867.03 and 243,027.56

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Solution

The third proportional to 157,867.03 and 243,027.56 is: 374,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,867.03 : 243,027.56 = 243,027.56 : x
  2. Step 2: Convert to fraction form
    157,867.03/243,027.56 = 243,027.56/x
  3. Step 3: Cross multiply
    157,867.03x = 243,027.56 × 243,027.56
  4. Step 4: Simplify right side
    157,867.03x = 59,062,396,134.69
  5. Step 5: Solve for x
    x = 59,062,396,134.69/157,867.03
  6. Step 6: Final answer
    x = 374,127.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.