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Finding the Third Proportional to 223,206.89 and 336,822.68

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Solution

The third proportional to 223,206.89 and 336,822.68 is: 508,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,206.89 : 336,822.68 = 336,822.68 : x
  2. Step 2: Convert to fraction form
    223,206.89/336,822.68 = 336,822.68/x
  3. Step 3: Cross multiply
    223,206.89x = 336,822.68 × 336,822.68
  4. Step 4: Simplify right side
    223,206.89x = 113,449,517,551.87
  5. Step 5: Solve for x
    x = 113,449,517,551.87/223,206.89
  6. Step 6: Final answer
    x = 508,270.68

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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.