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Finding the Third Proportional to 209,376 and 315,216

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Solution

The third proportional to 209,376 and 315,216 is: 474,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,376 : 315,216 = 315,216 : x
  2. Step 2: Convert to fraction form
    209,376/315,216 = 315,216/x
  3. Step 3: Cross multiply
    209,376x = 315,216 × 315,216
  4. Step 4: Simplify right side
    209,376x = 99,361,126,656
  5. Step 5: Solve for x
    x = 99,361,126,656/209,376
  6. Step 6: Final answer
    x = 474,558.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.