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Finding the Third Proportional to 158,872 and 349,729

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Solution

The third proportional to 158,872 and 349,729 is: 769,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,872 : 349,729 = 349,729 : x
  2. Step 2: Convert to fraction form
    158,872/349,729 = 349,729/x
  3. Step 3: Cross multiply
    158,872x = 349,729 × 349,729
  4. Step 4: Simplify right side
    158,872x = 122,310,373,441
  5. Step 5: Solve for x
    x = 122,310,373,441/158,872
  6. Step 6: Final answer
    x = 769,867.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.