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Finding the Third Proportional to 223,231.50 and 336,856.50

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Solution

The third proportional to 223,231.50 and 336,856.50 is: 508,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,231.50 : 336,856.50 = 336,856.50 : x
  2. Step 2: Convert to fraction form
    223,231.50/336,856.50 = 336,856.50/x
  3. Step 3: Cross multiply
    223,231.50x = 336,856.50 × 336,856.50
  4. Step 4: Simplify right side
    223,231.50x = 113,472,301,592.25
  5. Step 5: Solve for x
    x = 113,472,301,592.25/223,231.50
  6. Step 6: Final answer
    x = 508,316.71

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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.