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Finding the Third Proportional to 165,744 and 357,696

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Solution

The third proportional to 165,744 and 357,696 is: 771,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,744 : 357,696 = 357,696 : x
  2. Step 2: Convert to fraction form
    165,744/357,696 = 357,696/x
  3. Step 3: Cross multiply
    165,744x = 357,696 × 357,696
  4. Step 4: Simplify right side
    165,744x = 127,946,428,416
  5. Step 5: Solve for x
    x = 127,946,428,416/165,744
  6. Step 6: Final answer
    x = 771,952.10

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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.