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Finding the Third Proportional to 158,769 and 342,467

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Solution

The third proportional to 158,769 and 342,467 is: 738,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,769 : 342,467 = 342,467 : x
  2. Step 2: Convert to fraction form
    158,769/342,467 = 342,467/x
  3. Step 3: Cross multiply
    158,769x = 342,467 × 342,467
  4. Step 4: Simplify right side
    158,769x = 117,283,646,089
  5. Step 5: Solve for x
    x = 117,283,646,089/158,769
  6. Step 6: Final answer
    x = 738,706.21

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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.