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Finding the Third Proportional to 165,488 and 357,214

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Solution

The third proportional to 165,488 and 357,214 is: 771,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,488 : 357,214 = 357,214 : x
  2. Step 2: Convert to fraction form
    165,488/357,214 = 357,214/x
  3. Step 3: Cross multiply
    165,488x = 357,214 × 357,214
  4. Step 4: Simplify right side
    165,488x = 127,601,841,796
  5. Step 5: Solve for x
    x = 127,601,841,796/165,488
  6. Step 6: Final answer
    x = 771,064.02

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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.