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Finding the Third Proportional to 160,662 and 348,981

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Solution

The third proportional to 160,662 and 348,981 is: 758,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,662 : 348,981 = 348,981 : x
  2. Step 2: Convert to fraction form
    160,662/348,981 = 348,981/x
  3. Step 3: Cross multiply
    160,662x = 348,981 × 348,981
  4. Step 4: Simplify right side
    160,662x = 121,787,738,361
  5. Step 5: Solve for x
    x = 121,787,738,361/160,662
  6. Step 6: Final answer
    x = 758,036.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.