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Finding the Third Proportional to 158,948 and 345,234

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Solution

The third proportional to 158,948 and 345,234 is: 749,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,948 : 345,234 = 345,234 : x
  2. Step 2: Convert to fraction form
    158,948/345,234 = 345,234/x
  3. Step 3: Cross multiply
    158,948x = 345,234 × 345,234
  4. Step 4: Simplify right side
    158,948x = 119,186,514,756
  5. Step 5: Solve for x
    x = 119,186,514,756/158,948
  6. Step 6: Final answer
    x = 749,845.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.