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Finding the Third Proportional to 165,854 and 357,628

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Solution

The third proportional to 165,854 and 357,628 is: 771,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,854 : 357,628 = 357,628 : x
  2. Step 2: Convert to fraction form
    165,854/357,628 = 357,628/x
  3. Step 3: Cross multiply
    165,854x = 357,628 × 357,628
  4. Step 4: Simplify right side
    165,854x = 127,897,786,384
  5. Step 5: Solve for x
    x = 127,897,786,384/165,854
  6. Step 6: Final answer
    x = 771,146.83

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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.