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Finding the Third Proportional to 162,714 and 349,870

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Solution

The third proportional to 162,714 and 349,870 is: 752,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,714 : 349,870 = 349,870 : x
  2. Step 2: Convert to fraction form
    162,714/349,870 = 349,870/x
  3. Step 3: Cross multiply
    162,714x = 349,870 × 349,870
  4. Step 4: Simplify right side
    162,714x = 122,409,016,900
  5. Step 5: Solve for x
    x = 122,409,016,900/162,714
  6. Step 6: Final answer
    x = 752,295.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.