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Finding the Third Proportional to 187,171.50 and 409,335

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Solution

The third proportional to 187,171.50 and 409,335 is: 895,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,171.50 : 409,335 = 409,335 : x
  2. Step 2: Convert to fraction form
    187,171.50/409,335 = 409,335/x
  3. Step 3: Cross multiply
    187,171.50x = 409,335 × 409,335
  4. Step 4: Simplify right side
    187,171.50x = 167,555,142,225
  5. Step 5: Solve for x
    x = 167,555,142,225/187,171.50
  6. Step 6: Final answer
    x = 895,195.81

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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.