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Finding the Third Proportional to 165,626 and 258,279

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Solution

The third proportional to 165,626 and 258,279 is: 402,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,626 : 258,279 = 258,279 : x
  2. Step 2: Convert to fraction form
    165,626/258,279 = 258,279/x
  3. Step 3: Cross multiply
    165,626x = 258,279 × 258,279
  4. Step 4: Simplify right side
    165,626x = 66,708,041,841
  5. Step 5: Solve for x
    x = 66,708,041,841/165,626
  6. Step 6: Final answer
    x = 402,763.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.