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Finding the Third Proportional to 158,234 and 237,382

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Solution

The third proportional to 158,234 and 237,382 is: 356,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,234 : 237,382 = 237,382 : x
  2. Step 2: Convert to fraction form
    158,234/237,382 = 237,382/x
  3. Step 3: Cross multiply
    158,234x = 237,382 × 237,382
  4. Step 4: Simplify right side
    158,234x = 56,350,213,924
  5. Step 5: Solve for x
    x = 56,350,213,924/158,234
  6. Step 6: Final answer
    x = 356,119.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.