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Finding the Third Proportional to 176,016 and 415,076

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Solution

The third proportional to 176,016 and 415,076 is: 978,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,016 : 415,076 = 415,076 : x
  2. Step 2: Convert to fraction form
    176,016/415,076 = 415,076/x
  3. Step 3: Cross multiply
    176,016x = 415,076 × 415,076
  4. Step 4: Simplify right side
    176,016x = 172,288,085,776
  5. Step 5: Solve for x
    x = 172,288,085,776/176,016
  6. Step 6: Final answer
    x = 978,820.59

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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.