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Finding the Third Proportional to 176,914 and 260,151

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Solution

The third proportional to 176,914 and 260,151 is: 382,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,914 : 260,151 = 260,151 : x
  2. Step 2: Convert to fraction form
    176,914/260,151 = 260,151/x
  3. Step 3: Cross multiply
    176,914x = 260,151 × 260,151
  4. Step 4: Simplify right side
    176,914x = 67,678,542,801
  5. Step 5: Solve for x
    x = 67,678,542,801/176,914
  6. Step 6: Final answer
    x = 382,550.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.