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Finding the Third Proportional to 165,842 and 353,364

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Solution

The third proportional to 165,842 and 353,364 is: 752,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,842 : 353,364 = 353,364 : x
  2. Step 2: Convert to fraction form
    165,842/353,364 = 353,364/x
  3. Step 3: Cross multiply
    165,842x = 353,364 × 353,364
  4. Step 4: Simplify right side
    165,842x = 124,866,116,496
  5. Step 5: Solve for x
    x = 124,866,116,496/165,842
  6. Step 6: Final answer
    x = 752,922.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.