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Finding the Third Proportional to 193,617.50 and 419,411

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Solution

The third proportional to 193,617.50 and 419,411 is: 908,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,617.50 : 419,411 = 419,411 : x
  2. Step 2: Convert to fraction form
    193,617.50/419,411 = 419,411/x
  3. Step 3: Cross multiply
    193,617.50x = 419,411 × 419,411
  4. Step 4: Simplify right side
    193,617.50x = 175,905,586,921
  5. Step 5: Solve for x
    x = 175,905,586,921/193,617.50
  6. Step 6: Final answer
    x = 908,521.11

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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.