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Finding the Third Proportional to 126,276 and 276,294

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Solution

The third proportional to 126,276 and 276,294 is: 604,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,276 : 276,294 = 276,294 : x
  2. Step 2: Convert to fraction form
    126,276/276,294 = 276,294/x
  3. Step 3: Cross multiply
    126,276x = 276,294 × 276,294
  4. Step 4: Simplify right side
    126,276x = 76,338,374,436
  5. Step 5: Solve for x
    x = 76,338,374,436/126,276
  6. Step 6: Final answer
    x = 604,535.89

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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.