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Finding the Third Proportional to 158,662 and 345,756

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Solution

The third proportional to 158,662 and 345,756 is: 753,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,662 : 345,756 = 345,756 : x
  2. Step 2: Convert to fraction form
    158,662/345,756 = 345,756/x
  3. Step 3: Cross multiply
    158,662x = 345,756 × 345,756
  4. Step 4: Simplify right side
    158,662x = 119,547,211,536
  5. Step 5: Solve for x
    x = 119,547,211,536/158,662
  6. Step 6: Final answer
    x = 753,470.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.