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Finding the Third Proportional to 176,128 and 379,904

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Solution

The third proportional to 176,128 and 379,904 is: 819,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,128 : 379,904 = 379,904 : x
  2. Step 2: Convert to fraction form
    176,128/379,904 = 379,904/x
  3. Step 3: Cross multiply
    176,128x = 379,904 × 379,904
  4. Step 4: Simplify right side
    176,128x = 144,327,049,216
  5. Step 5: Solve for x
    x = 144,327,049,216/176,128
  6. Step 6: Final answer
    x = 819,444.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.