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Finding the Third Proportional to 199,810.50 and 427,960.50

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Solution

The third proportional to 199,810.50 and 427,960.50 is: 916,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,810.50 : 427,960.50 = 427,960.50 : x
  2. Step 2: Convert to fraction form
    199,810.50/427,960.50 = 427,960.50/x
  3. Step 3: Cross multiply
    199,810.50x = 427,960.50 × 427,960.50
  4. Step 4: Simplify right side
    199,810.50x = 183,150,189,560.25
  5. Step 5: Solve for x
    x = 183,150,189,560.25/199,810.50
  6. Step 6: Final answer
    x = 916,619.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.