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Finding the Third Proportional to 85,707 and 200,295

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Solution

The third proportional to 85,707 and 200,295 is: 468,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,707 : 200,295 = 200,295 : x
  2. Step 2: Convert to fraction form
    85,707/200,295 = 200,295/x
  3. Step 3: Cross multiply
    85,707x = 200,295 × 200,295
  4. Step 4: Simplify right side
    85,707x = 40,118,087,025
  5. Step 5: Solve for x
    x = 40,118,087,025/85,707
  6. Step 6: Final answer
    x = 468,084.14

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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.