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Finding the Third Proportional to 158,344 and 332,048

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Solution

The third proportional to 158,344 and 332,048 is: 696,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,344 : 332,048 = 332,048 : x
  2. Step 2: Convert to fraction form
    158,344/332,048 = 332,048/x
  3. Step 3: Cross multiply
    158,344x = 332,048 × 332,048
  4. Step 4: Simplify right side
    158,344x = 110,255,874,304
  5. Step 5: Solve for x
    x = 110,255,874,304/158,344
  6. Step 6: Final answer
    x = 696,305.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.