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Finding the Third Proportional to 176,256 and 252,592

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Solution

The third proportional to 176,256 and 252,592 is: 361,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,256 : 252,592 = 252,592 : x
  2. Step 2: Convert to fraction form
    176,256/252,592 = 252,592/x
  3. Step 3: Cross multiply
    176,256x = 252,592 × 252,592
  4. Step 4: Simplify right side
    176,256x = 63,802,718,464
  5. Step 5: Solve for x
    x = 63,802,718,464/176,256
  6. Step 6: Final answer
    x = 361,988.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.