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Finding the Third Proportional to 175,282.50 and 286,188.75

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Solution

The third proportional to 175,282.50 and 286,188.75 is: 467,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,282.50 : 286,188.75 = 286,188.75 : x
  2. Step 2: Convert to fraction form
    175,282.50/286,188.75 = 286,188.75/x
  3. Step 3: Cross multiply
    175,282.50x = 286,188.75 × 286,188.75
  4. Step 4: Simplify right side
    175,282.50x = 81,904,000,626.56
  5. Step 5: Solve for x
    x = 81,904,000,626.56/175,282.50
  6. Step 6: Final answer
    x = 467,268.56

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.