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Finding the Third Proportional to 158,648 and 332,860

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Solution

The third proportional to 158,648 and 332,860 is: 698,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,648 : 332,860 = 332,860 : x
  2. Step 2: Convert to fraction form
    158,648/332,860 = 332,860/x
  3. Step 3: Cross multiply
    158,648x = 332,860 × 332,860
  4. Step 4: Simplify right side
    158,648x = 110,795,779,600
  5. Step 5: Solve for x
    x = 110,795,779,600/158,648
  6. Step 6: Final answer
    x = 698,374.89

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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.