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Finding the Third Proportional to 165,972 and 223,614

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Solution

The third proportional to 165,972 and 223,614 is: 301,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,972 : 223,614 = 223,614 : x
  2. Step 2: Convert to fraction form
    165,972/223,614 = 223,614/x
  3. Step 3: Cross multiply
    165,972x = 223,614 × 223,614
  4. Step 4: Simplify right side
    165,972x = 50,003,220,996
  5. Step 5: Solve for x
    x = 50,003,220,996/165,972
  6. Step 6: Final answer
    x = 301,275.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.