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Finding the Third Proportional to 187,342.50 and 285,706.50

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Solution

The third proportional to 187,342.50 and 285,706.50 is: 435,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,342.50 : 285,706.50 = 285,706.50 : x
  2. Step 2: Convert to fraction form
    187,342.50/285,706.50 = 285,706.50/x
  3. Step 3: Cross multiply
    187,342.50x = 285,706.50 × 285,706.50
  4. Step 4: Simplify right side
    187,342.50x = 81,628,204,142.25
  5. Step 5: Solve for x
    x = 81,628,204,142.25/187,342.50
  6. Step 6: Final answer
    x = 435,716.42

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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.