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Finding the Third Proportional to 158,641 and 237,981

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Solution

The third proportional to 158,641 and 237,981 is: 357,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,641 : 237,981 = 237,981 : x
  2. Step 2: Convert to fraction form
    158,641/237,981 = 237,981/x
  3. Step 3: Cross multiply
    158,641x = 237,981 × 237,981
  4. Step 4: Simplify right side
    158,641x = 56,634,956,361
  5. Step 5: Solve for x
    x = 56,634,956,361/158,641
  6. Step 6: Final answer
    x = 357,000.75

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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.