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Finding the Third Proportional to 92,728 and 200,239

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Solution

The third proportional to 92,728 and 200,239 is: 432,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,728 : 200,239 = 200,239 : x
  2. Step 2: Convert to fraction form
    92,728/200,239 = 200,239/x
  3. Step 3: Cross multiply
    92,728x = 200,239 × 200,239
  4. Step 4: Simplify right side
    92,728x = 40,095,657,121
  5. Step 5: Solve for x
    x = 40,095,657,121/92,728
  6. Step 6: Final answer
    x = 432,400.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.