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Finding the Third Proportional to 92,296 and 201,674

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Solution

The third proportional to 92,296 and 201,674 is: 440,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,296 : 201,674 = 201,674 : x
  2. Step 2: Convert to fraction form
    92,296/201,674 = 201,674/x
  3. Step 3: Cross multiply
    92,296x = 201,674 × 201,674
  4. Step 4: Simplify right side
    92,296x = 40,672,402,276
  5. Step 5: Solve for x
    x = 40,672,402,276/92,296
  6. Step 6: Final answer
    x = 440,673.51

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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.