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Finding the Third Proportional to 193,726 and 418,034

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Solution

The third proportional to 193,726 and 418,034 is: 902,059.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,726 : 418,034 = 418,034 : x
  2. Step 2: Convert to fraction form
    193,726/418,034 = 418,034/x
  3. Step 3: Cross multiply
    193,726x = 418,034 × 418,034
  4. Step 4: Simplify right side
    193,726x = 174,752,425,156
  5. Step 5: Solve for x
    x = 174,752,425,156/193,726
  6. Step 6: Final answer
    x = 902,059.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.