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Finding the Third Proportional to 194,848.75 and 418,705.50

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Solution

The third proportional to 194,848.75 and 418,705.50 is: 899,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,848.75 : 418,705.50 = 418,705.50 : x
  2. Step 2: Convert to fraction form
    194,848.75/418,705.50 = 418,705.50/x
  3. Step 3: Cross multiply
    194,848.75x = 418,705.50 × 418,705.50
  4. Step 4: Simplify right side
    194,848.75x = 175,314,295,730.25
  5. Step 5: Solve for x
    x = 175,314,295,730.25/194,848.75
  6. Step 6: Final answer
    x = 899,745.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.