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Finding the Third Proportional to 85,700 and 200,277

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Solution

The third proportional to 85,700 and 200,277 is: 468,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,700 : 200,277 = 200,277 : x
  2. Step 2: Convert to fraction form
    85,700/200,277 = 200,277/x
  3. Step 3: Cross multiply
    85,700x = 200,277 × 200,277
  4. Step 4: Simplify right side
    85,700x = 40,110,876,729
  5. Step 5: Solve for x
    x = 40,110,876,729/85,700
  6. Step 6: Final answer
    x = 468,038.23

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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.