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Finding the Third Proportional to 187,114.50 and 293,190

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Solution

The third proportional to 187,114.50 and 293,190 is: 459,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,114.50 : 293,190 = 293,190 : x
  2. Step 2: Convert to fraction form
    187,114.50/293,190 = 293,190/x
  3. Step 3: Cross multiply
    187,114.50x = 293,190 × 293,190
  4. Step 4: Simplify right side
    187,114.50x = 85,960,376,100
  5. Step 5: Solve for x
    x = 85,960,376,100/187,114.50
  6. Step 6: Final answer
    x = 459,399.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.