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Finding the Third Proportional to 176,335.50 and 416,193

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Solution

The third proportional to 176,335.50 and 416,193 is: 982,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,335.50 : 416,193 = 416,193 : x
  2. Step 2: Convert to fraction form
    176,335.50/416,193 = 416,193/x
  3. Step 3: Cross multiply
    176,335.50x = 416,193 × 416,193
  4. Step 4: Simplify right side
    176,335.50x = 173,216,613,249
  5. Step 5: Solve for x
    x = 173,216,613,249/176,335.50
  6. Step 6: Final answer
    x = 982,312.77

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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.