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Finding the Third Proportional to 207,282 and 320,085

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Solution

The third proportional to 207,282 and 320,085 is: 494,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,282 : 320,085 = 320,085 : x
  2. Step 2: Convert to fraction form
    207,282/320,085 = 320,085/x
  3. Step 3: Cross multiply
    207,282x = 320,085 × 320,085
  4. Step 4: Simplify right side
    207,282x = 102,454,407,225
  5. Step 5: Solve for x
    x = 102,454,407,225/207,282
  6. Step 6: Final answer
    x = 494,275.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.