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Finding the Third Proportional to 187,251.75 and 409,531.50

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Solution

The third proportional to 187,251.75 and 409,531.50 is: 895,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,251.75 : 409,531.50 = 409,531.50 : x
  2. Step 2: Convert to fraction form
    187,251.75/409,531.50 = 409,531.50/x
  3. Step 3: Cross multiply
    187,251.75x = 409,531.50 × 409,531.50
  4. Step 4: Simplify right side
    187,251.75x = 167,716,049,492.25
  5. Step 5: Solve for x
    x = 167,716,049,492.25/187,251.75
  6. Step 6: Final answer
    x = 895,671.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.