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Finding the Third Proportional to 185,528 and 397,291

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Solution

The third proportional to 185,528 and 397,291 is: 850,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,528 : 397,291 = 397,291 : x
  2. Step 2: Convert to fraction form
    185,528/397,291 = 397,291/x
  3. Step 3: Cross multiply
    185,528x = 397,291 × 397,291
  4. Step 4: Simplify right side
    185,528x = 157,840,138,681
  5. Step 5: Solve for x
    x = 157,840,138,681/185,528
  6. Step 6: Final answer
    x = 850,761.82

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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.