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Finding the Third Proportional to 92,402 and 200,344

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Solution

The third proportional to 92,402 and 200,344 is: 434,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,402 : 200,344 = 200,344 : x
  2. Step 2: Convert to fraction form
    92,402/200,344 = 200,344/x
  3. Step 3: Cross multiply
    92,402x = 200,344 × 200,344
  4. Step 4: Simplify right side
    92,402x = 40,137,718,336
  5. Step 5: Solve for x
    x = 40,137,718,336/92,402
  6. Step 6: Final answer
    x = 434,381.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.