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Finding the Third Proportional to 183,632 and 283,548

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Solution

The third proportional to 183,632 and 283,548 is: 437,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,632 : 283,548 = 283,548 : x
  2. Step 2: Convert to fraction form
    183,632/283,548 = 283,548/x
  3. Step 3: Cross multiply
    183,632x = 283,548 × 283,548
  4. Step 4: Simplify right side
    183,632x = 80,399,468,304
  5. Step 5: Solve for x
    x = 80,399,468,304/183,632
  6. Step 6: Final answer
    x = 437,829.29

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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.