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Finding the Third Proportional to 131,758 and 292,995

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Solution

The third proportional to 131,758 and 292,995 is: 651,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,758 : 292,995 = 292,995 : x
  2. Step 2: Convert to fraction form
    131,758/292,995 = 292,995/x
  3. Step 3: Cross multiply
    131,758x = 292,995 × 292,995
  4. Step 4: Simplify right side
    131,758x = 85,846,070,025
  5. Step 5: Solve for x
    x = 85,846,070,025/131,758
  6. Step 6: Final answer
    x = 651,543.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.