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Finding the Third Proportional to 176,108 and 267,528

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Solution

The third proportional to 176,108 and 267,528 is: 406,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,108 : 267,528 = 267,528 : x
  2. Step 2: Convert to fraction form
    176,108/267,528 = 267,528/x
  3. Step 3: Cross multiply
    176,108x = 267,528 × 267,528
  4. Step 4: Simplify right side
    176,108x = 71,571,230,784
  5. Step 5: Solve for x
    x = 71,571,230,784/176,108
  6. Step 6: Final answer
    x = 406,405.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.