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Finding the Third Proportional to 149,528 and 222,132

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Solution

The third proportional to 149,528 and 222,132 is: 329,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,528 : 222,132 = 222,132 : x
  2. Step 2: Convert to fraction form
    149,528/222,132 = 222,132/x
  3. Step 3: Cross multiply
    149,528x = 222,132 × 222,132
  4. Step 4: Simplify right side
    149,528x = 49,342,625,424
  5. Step 5: Solve for x
    x = 49,342,625,424/149,528
  6. Step 6: Final answer
    x = 329,989.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.