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Finding the Third Proportional to 176,034 and 234,651

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Solution

The third proportional to 176,034 and 234,651 is: 312,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,034 : 234,651 = 234,651 : x
  2. Step 2: Convert to fraction form
    176,034/234,651 = 234,651/x
  3. Step 3: Cross multiply
    176,034x = 234,651 × 234,651
  4. Step 4: Simplify right side
    176,034x = 55,061,091,801
  5. Step 5: Solve for x
    x = 55,061,091,801/176,034
  6. Step 6: Final answer
    x = 312,786.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.