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Finding the Third Proportional to 169,566 and 372,417

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Solution

The third proportional to 169,566 and 372,417 is: 817,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,566 : 372,417 = 372,417 : x
  2. Step 2: Convert to fraction form
    169,566/372,417 = 372,417/x
  3. Step 3: Cross multiply
    169,566x = 372,417 × 372,417
  4. Step 4: Simplify right side
    169,566x = 138,694,421,889
  5. Step 5: Solve for x
    x = 138,694,421,889/169,566
  6. Step 6: Final answer
    x = 817,937.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.