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Finding the Third Proportional to 158,732 and 239,720

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Solution

The third proportional to 158,732 and 239,720 is: 362,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,732 : 239,720 = 239,720 : x
  2. Step 2: Convert to fraction form
    158,732/239,720 = 239,720/x
  3. Step 3: Cross multiply
    158,732x = 239,720 × 239,720
  4. Step 4: Simplify right side
    158,732x = 57,465,678,400
  5. Step 5: Solve for x
    x = 57,465,678,400/158,732
  6. Step 6: Final answer
    x = 362,029.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.