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Finding the Third Proportional to 207,068 and 310,282

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Solution

The third proportional to 207,068 and 310,282 is: 464,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,068 : 310,282 = 310,282 : x
  2. Step 2: Convert to fraction form
    207,068/310,282 = 310,282/x
  3. Step 3: Cross multiply
    207,068x = 310,282 × 310,282
  4. Step 4: Simplify right side
    207,068x = 96,274,919,524
  5. Step 5: Solve for x
    x = 96,274,919,524/207,068
  6. Step 6: Final answer
    x = 464,943.49

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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.