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Finding the Third Proportional to 183,691 and 283,721

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Solution

The third proportional to 183,691 and 283,721 is: 438,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,691 : 283,721 = 283,721 : x
  2. Step 2: Convert to fraction form
    183,691/283,721 = 283,721/x
  3. Step 3: Cross multiply
    183,691x = 283,721 × 283,721
  4. Step 4: Simplify right side
    183,691x = 80,497,605,841
  5. Step 5: Solve for x
    x = 80,497,605,841/183,691
  6. Step 6: Final answer
    x = 438,222.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.