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Finding the Third Proportional to 124,662 and 296,346

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Solution

The third proportional to 124,662 and 296,346 is: 704,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,662 : 296,346 = 296,346 : x
  2. Step 2: Convert to fraction form
    124,662/296,346 = 296,346/x
  3. Step 3: Cross multiply
    124,662x = 296,346 × 296,346
  4. Step 4: Simplify right side
    124,662x = 87,820,951,716
  5. Step 5: Solve for x
    x = 87,820,951,716/124,662
  6. Step 6: Final answer
    x = 704,472.51

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.