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Finding the Third Proportional to 176,282 and 264,812

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Solution

The third proportional to 176,282 and 264,812 is: 397,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,282 : 264,812 = 264,812 : x
  2. Step 2: Convert to fraction form
    176,282/264,812 = 264,812/x
  3. Step 3: Cross multiply
    176,282x = 264,812 × 264,812
  4. Step 4: Simplify right side
    176,282x = 70,125,395,344
  5. Step 5: Solve for x
    x = 70,125,395,344/176,282
  6. Step 6: Final answer
    x = 397,802.36

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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.