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Finding the Third Proportional to 208,929 and 318,291

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Solution

The third proportional to 208,929 and 318,291 is: 484,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,929 : 318,291 = 318,291 : x
  2. Step 2: Convert to fraction form
    208,929/318,291 = 318,291/x
  3. Step 3: Cross multiply
    208,929x = 318,291 × 318,291
  4. Step 4: Simplify right side
    208,929x = 101,309,160,681
  5. Step 5: Solve for x
    x = 101,309,160,681/208,929
  6. Step 6: Final answer
    x = 484,897.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.