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Finding the Third Proportional to 165,644 and 357,514

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Solution

The third proportional to 165,644 and 357,514 is: 771,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,644 : 357,514 = 357,514 : x
  2. Step 2: Convert to fraction form
    165,644/357,514 = 357,514/x
  3. Step 3: Cross multiply
    165,644x = 357,514 × 357,514
  4. Step 4: Simplify right side
    165,644x = 127,816,260,196
  5. Step 5: Solve for x
    x = 127,816,260,196/165,644
  6. Step 6: Final answer
    x = 771,632.30

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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.