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Finding the Third Proportional to 158,727 and 338,981

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Solution

The third proportional to 158,727 and 338,981 is: 723,935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,727 : 338,981 = 338,981 : x
  2. Step 2: Convert to fraction form
    158,727/338,981 = 338,981/x
  3. Step 3: Cross multiply
    158,727x = 338,981 × 338,981
  4. Step 4: Simplify right side
    158,727x = 114,908,118,361
  5. Step 5: Solve for x
    x = 114,908,118,361/158,727
  6. Step 6: Final answer
    x = 723,935.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.