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Finding the Third Proportional to 216,093 and 327,118.50

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Solution

The third proportional to 216,093 and 327,118.50 is: 495,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,093 : 327,118.50 = 327,118.50 : x
  2. Step 2: Convert to fraction form
    216,093/327,118.50 = 327,118.50/x
  3. Step 3: Cross multiply
    216,093x = 327,118.50 × 327,118.50
  4. Step 4: Simplify right side
    216,093x = 107,006,513,042.25
  5. Step 5: Solve for x
    x = 107,006,513,042.25/216,093
  6. Step 6: Final answer
    x = 495,187.32

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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.