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Finding the Third Proportional to 230,496 and 336,924

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Solution

The third proportional to 230,496 and 336,924 is: 492,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,496 : 336,924 = 336,924 : x
  2. Step 2: Convert to fraction form
    230,496/336,924 = 336,924/x
  3. Step 3: Cross multiply
    230,496x = 336,924 × 336,924
  4. Step 4: Simplify right side
    230,496x = 113,517,781,776
  5. Step 5: Solve for x
    x = 113,517,781,776/230,496
  6. Step 6: Final answer
    x = 492,493.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.