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Finding the Third Proportional to 177,960 and 240,210

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Solution

The third proportional to 177,960 and 240,210 is: 324,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,960 : 240,210 = 240,210 : x
  2. Step 2: Convert to fraction form
    177,960/240,210 = 240,210/x
  3. Step 3: Cross multiply
    177,960x = 240,210 × 240,210
  4. Step 4: Simplify right side
    177,960x = 57,700,844,100
  5. Step 5: Solve for x
    x = 57,700,844,100/177,960
  6. Step 6: Final answer
    x = 324,234.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.