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Finding the Third Proportional to 147,606 and 234,984

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Solution

The third proportional to 147,606 and 234,984 is: 374,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,606 : 234,984 = 234,984 : x
  2. Step 2: Convert to fraction form
    147,606/234,984 = 234,984/x
  3. Step 3: Cross multiply
    147,606x = 234,984 × 234,984
  4. Step 4: Simplify right side
    147,606x = 55,217,480,256
  5. Step 5: Solve for x
    x = 55,217,480,256/147,606
  6. Step 6: Final answer
    x = 374,086.96

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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.