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Finding the Third Proportional to 131,278 and 287,980

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Solution

The third proportional to 131,278 and 287,980 is: 631,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,278 : 287,980 = 287,980 : x
  2. Step 2: Convert to fraction form
    131,278/287,980 = 287,980/x
  3. Step 3: Cross multiply
    131,278x = 287,980 × 287,980
  4. Step 4: Simplify right side
    131,278x = 82,932,480,400
  5. Step 5: Solve for x
    x = 82,932,480,400/131,278
  6. Step 6: Final answer
    x = 631,731.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.