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Finding the Third Proportional to 194,188 and 262,359

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Solution

The third proportional to 194,188 and 262,359 is: 354,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,188 : 262,359 = 262,359 : x
  2. Step 2: Convert to fraction form
    194,188/262,359 = 262,359/x
  3. Step 3: Cross multiply
    194,188x = 262,359 × 262,359
  4. Step 4: Simplify right side
    194,188x = 68,832,244,881
  5. Step 5: Solve for x
    x = 68,832,244,881/194,188
  6. Step 6: Final answer
    x = 354,461.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.