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Finding the Third Proportional to 168,290 and 357,352

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Solution

The third proportional to 168,290 and 357,352 is: 758,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,290 : 357,352 = 357,352 : x
  2. Step 2: Convert to fraction form
    168,290/357,352 = 357,352/x
  3. Step 3: Cross multiply
    168,290x = 357,352 × 357,352
  4. Step 4: Simplify right side
    168,290x = 127,700,451,904
  5. Step 5: Solve for x
    x = 127,700,451,904/168,290
  6. Step 6: Final answer
    x = 758,811.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.