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Finding the Third Proportional to 207,564 and 311,344

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Solution

The third proportional to 207,564 and 311,344 is: 467,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,564 : 311,344 = 311,344 : x
  2. Step 2: Convert to fraction form
    207,564/311,344 = 311,344/x
  3. Step 3: Cross multiply
    207,564x = 311,344 × 311,344
  4. Step 4: Simplify right side
    207,564x = 96,935,086,336
  5. Step 5: Solve for x
    x = 96,935,086,336/207,564
  6. Step 6: Final answer
    x = 467,013.00

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