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Finding the Third Proportional to 207,550 and 311,329

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Solution

The third proportional to 207,550 and 311,329 is: 466,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,550 : 311,329 = 311,329 : x
  2. Step 2: Convert to fraction form
    207,550/311,329 = 311,329/x
  3. Step 3: Cross multiply
    207,550x = 311,329 × 311,329
  4. Step 4: Simplify right side
    207,550x = 96,925,746,241
  5. Step 5: Solve for x
    x = 96,925,746,241/207,550
  6. Step 6: Final answer
    x = 466,999.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.