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Finding the Third Proportional to 169,464 and 372,786

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Solution

The third proportional to 169,464 and 372,786 is: 820,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,464 : 372,786 = 372,786 : x
  2. Step 2: Convert to fraction form
    169,464/372,786 = 372,786/x
  3. Step 3: Cross multiply
    169,464x = 372,786 × 372,786
  4. Step 4: Simplify right side
    169,464x = 138,969,401,796
  5. Step 5: Solve for x
    x = 138,969,401,796/169,464
  6. Step 6: Final answer
    x = 820,052.65

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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.