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Finding the Third Proportional to 92,307 and 200,814

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Solution

The third proportional to 92,307 and 200,814 is: 436,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,307 : 200,814 = 200,814 : x
  2. Step 2: Convert to fraction form
    92,307/200,814 = 200,814/x
  3. Step 3: Cross multiply
    92,307x = 200,814 × 200,814
  4. Step 4: Simplify right side
    92,307x = 40,326,262,596
  5. Step 5: Solve for x
    x = 40,326,262,596/92,307
  6. Step 6: Final answer
    x = 436,871.12

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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.