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Finding the Third Proportional to 235,680 and 485,184

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Solution

The third proportional to 235,680 and 485,184 is: 998,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,680 : 485,184 = 485,184 : x
  2. Step 2: Convert to fraction form
    235,680/485,184 = 485,184/x
  3. Step 3: Cross multiply
    235,680x = 485,184 × 485,184
  4. Step 4: Simplify right side
    235,680x = 235,403,513,856
  5. Step 5: Solve for x
    x = 235,403,513,856/235,680
  6. Step 6: Final answer
    x = 998,826.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.