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Finding the Third Proportional to 92,308 and 200,816

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Solution

The third proportional to 92,308 and 200,816 is: 436,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,308 : 200,816 = 200,816 : x
  2. Step 2: Convert to fraction form
    92,308/200,816 = 200,816/x
  3. Step 3: Cross multiply
    92,308x = 200,816 × 200,816
  4. Step 4: Simplify right side
    92,308x = 40,327,065,856
  5. Step 5: Solve for x
    x = 40,327,065,856/92,308
  6. Step 6: Final answer
    x = 436,875.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.