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Finding the Third Proportional to 176,384 and 251,456

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Solution

The third proportional to 176,384 and 251,456 is: 358,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,384 : 251,456 = 251,456 : x
  2. Step 2: Convert to fraction form
    176,384/251,456 = 251,456/x
  3. Step 3: Cross multiply
    176,384x = 251,456 × 251,456
  4. Step 4: Simplify right side
    176,384x = 63,230,119,936
  5. Step 5: Solve for x
    x = 63,230,119,936/176,384
  6. Step 6: Final answer
    x = 358,479.91

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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.