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Finding the Third Proportional to 165,888 and 355,452

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Solution

The third proportional to 165,888 and 355,452 is: 761,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,888 : 355,452 = 355,452 : x
  2. Step 2: Convert to fraction form
    165,888/355,452 = 355,452/x
  3. Step 3: Cross multiply
    165,888x = 355,452 × 355,452
  4. Step 4: Simplify right side
    165,888x = 126,346,124,304
  5. Step 5: Solve for x
    x = 126,346,124,304/165,888
  6. Step 6: Final answer
    x = 761,635.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.