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Finding the Third Proportional to 223,231.50 and 336,924

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Solution

The third proportional to 223,231.50 and 336,924 is: 508,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,231.50 : 336,924 = 336,924 : x
  2. Step 2: Convert to fraction form
    223,231.50/336,924 = 336,924/x
  3. Step 3: Cross multiply
    223,231.50x = 336,924 × 336,924
  4. Step 4: Simplify right side
    223,231.50x = 113,517,781,776
  5. Step 5: Solve for x
    x = 113,517,781,776/223,231.50
  6. Step 6: Final answer
    x = 508,520.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.