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Finding the Third Proportional to 176,322 and 415,884

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Solution

The third proportional to 176,322 and 415,884 is: 980,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,322 : 415,884 = 415,884 : x
  2. Step 2: Convert to fraction form
    176,322/415,884 = 415,884/x
  3. Step 3: Cross multiply
    176,322x = 415,884 × 415,884
  4. Step 4: Simplify right side
    176,322x = 172,959,501,456
  5. Step 5: Solve for x
    x = 172,959,501,456/176,322
  6. Step 6: Final answer
    x = 980,929.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.