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Finding the Third Proportional to 165,626 and 357,478

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Solution

The third proportional to 165,626 and 357,478 is: 771,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,626 : 357,478 = 357,478 : x
  2. Step 2: Convert to fraction form
    165,626/357,478 = 357,478/x
  3. Step 3: Cross multiply
    165,626x = 357,478 × 357,478
  4. Step 4: Simplify right side
    165,626x = 127,790,520,484
  5. Step 5: Solve for x
    x = 127,790,520,484/165,626
  6. Step 6: Final answer
    x = 771,560.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.