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Finding the Third Proportional to 94,475.50 and 207,381

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Solution

The third proportional to 94,475.50 and 207,381 is: 455,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,475.50 : 207,381 = 207,381 : x
  2. Step 2: Convert to fraction form
    94,475.50/207,381 = 207,381/x
  3. Step 3: Cross multiply
    94,475.50x = 207,381 × 207,381
  4. Step 4: Simplify right side
    94,475.50x = 43,006,879,161
  5. Step 5: Solve for x
    x = 43,006,879,161/94,475.50
  6. Step 6: Final answer
    x = 455,217.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.