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Finding the Third Proportional to 207,970 and 310,566

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Solution

The third proportional to 207,970 and 310,566 is: 463,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970 : 310,566 = 310,566 : x
  2. Step 2: Convert to fraction form
    207,970/310,566 = 310,566/x
  3. Step 3: Cross multiply
    207,970x = 310,566 × 310,566
  4. Step 4: Simplify right side
    207,970x = 96,451,240,356
  5. Step 5: Solve for x
    x = 96,451,240,356/207,970
  6. Step 6: Final answer
    x = 463,774.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.