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Finding the Third Proportional to 165,646 and 357,518

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Solution

The third proportional to 165,646 and 357,518 is: 771,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,646 : 357,518 = 357,518 : x
  2. Step 2: Convert to fraction form
    165,646/357,518 = 357,518/x
  3. Step 3: Cross multiply
    165,646x = 357,518 × 357,518
  4. Step 4: Simplify right side
    165,646x = 127,819,120,324
  5. Step 5: Solve for x
    x = 127,819,120,324/165,646
  6. Step 6: Final answer
    x = 771,640.25

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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.