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Finding the Third Proportional to 92,035 and 200,730

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Solution

The third proportional to 92,035 and 200,730 is: 437,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,035 : 200,730 = 200,730 : x
  2. Step 2: Convert to fraction form
    92,035/200,730 = 200,730/x
  3. Step 3: Cross multiply
    92,035x = 200,730 × 200,730
  4. Step 4: Simplify right side
    92,035x = 40,292,532,900
  5. Step 5: Solve for x
    x = 40,292,532,900/92,035
  6. Step 6: Final answer
    x = 437,795.76

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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.