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Finding the Third Proportional to 158,948 and 345,233

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Solution

The third proportional to 158,948 and 345,233 is: 749,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,948 : 345,233 = 345,233 : x
  2. Step 2: Convert to fraction form
    158,948/345,233 = 345,233/x
  3. Step 3: Cross multiply
    158,948x = 345,233 × 345,233
  4. Step 4: Simplify right side
    158,948x = 119,185,824,289
  5. Step 5: Solve for x
    x = 119,185,824,289/158,948
  6. Step 6: Final answer
    x = 749,841.61

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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.