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Finding the Third Proportional to 85,423.50 and 199,586.25

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Solution

The third proportional to 85,423.50 and 199,586.25 is: 466,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,423.50 : 199,586.25 = 199,586.25 : x
  2. Step 2: Convert to fraction form
    85,423.50/199,586.25 = 199,586.25/x
  3. Step 3: Cross multiply
    85,423.50x = 199,586.25 × 199,586.25
  4. Step 4: Simplify right side
    85,423.50x = 39,834,671,189.06
  5. Step 5: Solve for x
    x = 39,834,671,189.06/85,423.50
  6. Step 6: Final answer
    x = 466,319.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.