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Finding the Third Proportional to 187,357.50 and 285,723

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Solution

The third proportional to 187,357.50 and 285,723 is: 435,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,357.50 : 285,723 = 285,723 : x
  2. Step 2: Convert to fraction form
    187,357.50/285,723 = 285,723/x
  3. Step 3: Cross multiply
    187,357.50x = 285,723 × 285,723
  4. Step 4: Simplify right side
    187,357.50x = 81,637,632,729
  5. Step 5: Solve for x
    x = 81,637,632,729/187,357.50
  6. Step 6: Final answer
    x = 435,731.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.