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Finding the Third Proportional to 158,870 and 234,608

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Solution

The third proportional to 158,870 and 234,608 is: 346,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,870 : 234,608 = 234,608 : x
  2. Step 2: Convert to fraction form
    158,870/234,608 = 234,608/x
  3. Step 3: Cross multiply
    158,870x = 234,608 × 234,608
  4. Step 4: Simplify right side
    158,870x = 55,040,913,664
  5. Step 5: Solve for x
    x = 55,040,913,664/158,870
  6. Step 6: Final answer
    x = 346,452.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.