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Finding the Third Proportional to 187,062.75 and 409,117.50

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Solution

The third proportional to 187,062.75 and 409,117.50 is: 894,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,062.75 : 409,117.50 = 409,117.50 : x
  2. Step 2: Convert to fraction form
    187,062.75/409,117.50 = 409,117.50/x
  3. Step 3: Cross multiply
    187,062.75x = 409,117.50 × 409,117.50
  4. Step 4: Simplify right side
    187,062.75x = 167,377,128,806.25
  5. Step 5: Solve for x
    x = 167,377,128,806.25/187,062.75
  6. Step 6: Final answer
    x = 894,764.61

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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.