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Finding the Third Proportional to 187,357.50 and 285,693.75

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Solution

The third proportional to 187,357.50 and 285,693.75 is: 435,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,357.50 : 285,693.75 = 285,693.75 : x
  2. Step 2: Convert to fraction form
    187,357.50/285,693.75 = 285,693.75/x
  3. Step 3: Cross multiply
    187,357.50x = 285,693.75 × 285,693.75
  4. Step 4: Simplify right side
    187,357.50x = 81,620,918,789.06
  5. Step 5: Solve for x
    x = 81,620,918,789.06/187,357.50
  6. Step 6: Final answer
    x = 435,642.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.