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Finding the Third Proportional to 200,809.50 and 322,860

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Solution

The third proportional to 200,809.50 and 322,860 is: 519,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809.50 : 322,860 = 322,860 : x
  2. Step 2: Convert to fraction form
    200,809.50/322,860 = 322,860/x
  3. Step 3: Cross multiply
    200,809.50x = 322,860 × 322,860
  4. Step 4: Simplify right side
    200,809.50x = 104,238,579,600
  5. Step 5: Solve for x
    x = 104,238,579,600/200,809.50
  6. Step 6: Final answer
    x = 519,091.87

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.