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Finding the Third Proportional to 176,291 and 264,826

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Solution

The third proportional to 176,291 and 264,826 is: 397,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,291 : 264,826 = 264,826 : x
  2. Step 2: Convert to fraction form
    176,291/264,826 = 264,826/x
  3. Step 3: Cross multiply
    176,291x = 264,826 × 264,826
  4. Step 4: Simplify right side
    176,291x = 70,132,810,276
  5. Step 5: Solve for x
    x = 70,132,810,276/176,291
  6. Step 6: Final answer
    x = 397,824.11

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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.