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Finding the Third Proportional to 73,436 and 158,548

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Solution

The third proportional to 73,436 and 158,548 is: 342,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,436 : 158,548 = 158,548 : x
  2. Step 2: Convert to fraction form
    73,436/158,548 = 158,548/x
  3. Step 3: Cross multiply
    73,436x = 158,548 × 158,548
  4. Step 4: Simplify right side
    73,436x = 25,137,468,304
  5. Step 5: Solve for x
    x = 25,137,468,304/73,436
  6. Step 6: Final answer
    x = 342,304.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.