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Finding the Third Proportional to 92,288 and 201,808

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Solution

The third proportional to 92,288 and 201,808 is: 441,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,288 : 201,808 = 201,808 : x
  2. Step 2: Convert to fraction form
    92,288/201,808 = 201,808/x
  3. Step 3: Cross multiply
    92,288x = 201,808 × 201,808
  4. Step 4: Simplify right side
    92,288x = 40,726,468,864
  5. Step 5: Solve for x
    x = 40,726,468,864/92,288
  6. Step 6: Final answer
    x = 441,297.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.