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Finding the Third Proportional to 85,309.50 and 199,362

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Solution

The third proportional to 85,309.50 and 199,362 is: 465,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309.50 : 199,362 = 199,362 : x
  2. Step 2: Convert to fraction form
    85,309.50/199,362 = 199,362/x
  3. Step 3: Cross multiply
    85,309.50x = 199,362 × 199,362
  4. Step 4: Simplify right side
    85,309.50x = 39,745,207,044
  5. Step 5: Solve for x
    x = 39,745,207,044/85,309.50
  6. Step 6: Final answer
    x = 465,894.27

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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.