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Finding the Third Proportional to 193,188 and 418,532

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Solution

The third proportional to 193,188 and 418,532 is: 906,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,188 : 418,532 = 418,532 : x
  2. Step 2: Convert to fraction form
    193,188/418,532 = 418,532/x
  3. Step 3: Cross multiply
    193,188x = 418,532 × 418,532
  4. Step 4: Simplify right side
    193,188x = 175,169,035,024
  5. Step 5: Solve for x
    x = 175,169,035,024/193,188
  6. Step 6: Final answer
    x = 906,728.34

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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.