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Finding the Third Proportional to 132,598 and 200,822

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Solution

The third proportional to 132,598 and 200,822 is: 304,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,598 : 200,822 = 200,822 : x
  2. Step 2: Convert to fraction form
    132,598/200,822 = 200,822/x
  3. Step 3: Cross multiply
    132,598x = 200,822 × 200,822
  4. Step 4: Simplify right side
    132,598x = 40,329,475,684
  5. Step 5: Solve for x
    x = 40,329,475,684/132,598
  6. Step 6: Final answer
    x = 304,148.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.