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Finding the Third Proportional to 207,544 and 311,315

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Solution

The third proportional to 207,544 and 311,315 is: 466,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,544 : 311,315 = 311,315 : x
  2. Step 2: Convert to fraction form
    207,544/311,315 = 311,315/x
  3. Step 3: Cross multiply
    207,544x = 311,315 × 311,315
  4. Step 4: Simplify right side
    207,544x = 96,917,029,225
  5. Step 5: Solve for x
    x = 96,917,029,225/207,544
  6. Step 6: Final answer
    x = 466,971.00

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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.