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Finding the Third Proportional to 167,264 and 250,536

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Solution

The third proportional to 167,264 and 250,536 is: 375,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,264 : 250,536 = 250,536 : x
  2. Step 2: Convert to fraction form
    167,264/250,536 = 250,536/x
  3. Step 3: Cross multiply
    167,264x = 250,536 × 250,536
  4. Step 4: Simplify right side
    167,264x = 62,768,287,296
  5. Step 5: Solve for x
    x = 62,768,287,296/167,264
  6. Step 6: Final answer
    x = 375,264.77

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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.