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Finding the Third Proportional to 126,254 and 292,307

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Solution

The third proportional to 126,254 and 292,307 is: 676,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,254 : 292,307 = 292,307 : x
  2. Step 2: Convert to fraction form
    126,254/292,307 = 292,307/x
  3. Step 3: Cross multiply
    126,254x = 292,307 × 292,307
  4. Step 4: Simplify right side
    126,254x = 85,443,382,249
  5. Step 5: Solve for x
    x = 85,443,382,249/126,254
  6. Step 6: Final answer
    x = 676,757.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.