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Finding the Third Proportional to 177,330 and 266,132

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Solution

The third proportional to 177,330 and 266,132 is: 399,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,330 : 266,132 = 266,132 : x
  2. Step 2: Convert to fraction form
    177,330/266,132 = 266,132/x
  3. Step 3: Cross multiply
    177,330x = 266,132 × 266,132
  4. Step 4: Simplify right side
    177,330x = 70,826,241,424
  5. Step 5: Solve for x
    x = 70,826,241,424/177,330
  6. Step 6: Final answer
    x = 399,403.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.