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Finding the Third Proportional to 199,006.88 and 416,461.50

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Solution

The third proportional to 199,006.88 and 416,461.50 is: 871,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,006.88 : 416,461.50 = 416,461.50 : x
  2. Step 2: Convert to fraction form
    199,006.88/416,461.50 = 416,461.50/x
  3. Step 3: Cross multiply
    199,006.88x = 416,461.50 × 416,461.50
  4. Step 4: Simplify right side
    199,006.88x = 173,440,180,982.25
  5. Step 5: Solve for x
    x = 173,440,180,982.25/199,006.88
  6. Step 6: Final answer
    x = 871,528.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.