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Finding the Third Proportional to 193,869 and 418,870.50

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Solution

The third proportional to 193,869 and 418,870.50 is: 905,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,869 : 418,870.50 = 418,870.50 : x
  2. Step 2: Convert to fraction form
    193,869/418,870.50 = 418,870.50/x
  3. Step 3: Cross multiply
    193,869x = 418,870.50 × 418,870.50
  4. Step 4: Simplify right side
    193,869x = 175,452,495,770.25
  5. Step 5: Solve for x
    x = 175,452,495,770.25/193,869
  6. Step 6: Final answer
    x = 905,005.42

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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.