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Finding the Third Proportional to 192,892.50 and 286,544.50

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Solution

The third proportional to 192,892.50 and 286,544.50 is: 425,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,892.50 : 286,544.50 = 286,544.50 : x
  2. Step 2: Convert to fraction form
    192,892.50/286,544.50 = 286,544.50/x
  3. Step 3: Cross multiply
    192,892.50x = 286,544.50 × 286,544.50
  4. Step 4: Simplify right side
    192,892.50x = 82,107,750,480.25
  5. Step 5: Solve for x
    x = 82,107,750,480.25/192,892.50
  6. Step 6: Final answer
    x = 425,665.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.