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Finding the Third Proportional to 147,614 and 234,995

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Solution

The third proportional to 147,614 and 234,995 is: 374,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,614 : 234,995 = 234,995 : x
  2. Step 2: Convert to fraction form
    147,614/234,995 = 234,995/x
  3. Step 3: Cross multiply
    147,614x = 234,995 × 234,995
  4. Step 4: Simplify right side
    147,614x = 55,222,650,025
  5. Step 5: Solve for x
    x = 55,222,650,025/147,614
  6. Step 6: Final answer
    x = 374,101.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.