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Finding the Third Proportional to 151,024 and 239,928

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Solution

The third proportional to 151,024 and 239,928 is: 381,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,024 : 239,928 = 239,928 : x
  2. Step 2: Convert to fraction form
    151,024/239,928 = 239,928/x
  3. Step 3: Cross multiply
    151,024x = 239,928 × 239,928
  4. Step 4: Simplify right side
    151,024x = 57,565,445,184
  5. Step 5: Solve for x
    x = 57,565,445,184/151,024
  6. Step 6: Final answer
    x = 381,167.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.