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Finding the Third Proportional to 207,364 and 310,976

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Solution

The third proportional to 207,364 and 310,976 is: 466,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 310,976 = 310,976 : x
  2. Step 2: Convert to fraction form
    207,364/310,976 = 310,976/x
  3. Step 3: Cross multiply
    207,364x = 310,976 × 310,976
  4. Step 4: Simplify right side
    207,364x = 96,706,072,576
  5. Step 5: Solve for x
    x = 96,706,072,576/207,364
  6. Step 6: Final answer
    x = 466,359.02

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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.