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Finding the Third Proportional to 165,734 and 253,417

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Solution

The third proportional to 165,734 and 253,417 is: 387,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,734 : 253,417 = 253,417 : x
  2. Step 2: Convert to fraction form
    165,734/253,417 = 253,417/x
  3. Step 3: Cross multiply
    165,734x = 253,417 × 253,417
  4. Step 4: Simplify right side
    165,734x = 64,220,175,889
  5. Step 5: Solve for x
    x = 64,220,175,889/165,734
  6. Step 6: Final answer
    x = 387,489.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.