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Finding the Third Proportional to 176,786 and 267,747

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Solution

The third proportional to 176,786 and 267,747 is: 405,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,786 : 267,747 = 267,747 : x
  2. Step 2: Convert to fraction form
    176,786/267,747 = 267,747/x
  3. Step 3: Cross multiply
    176,786x = 267,747 × 267,747
  4. Step 4: Simplify right side
    176,786x = 71,688,456,009
  5. Step 5: Solve for x
    x = 71,688,456,009/176,786
  6. Step 6: Final answer
    x = 405,509.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.