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Finding the Third Proportional to 194,178 and 260,770.50

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Solution

The third proportional to 194,178 and 260,770.50 is: 350,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,178 : 260,770.50 = 260,770.50 : x
  2. Step 2: Convert to fraction form
    194,178/260,770.50 = 260,770.50/x
  3. Step 3: Cross multiply
    194,178x = 260,770.50 × 260,770.50
  4. Step 4: Simplify right side
    194,178x = 68,001,253,670.25
  5. Step 5: Solve for x
    x = 68,001,253,670.25/194,178
  6. Step 6: Final answer
    x = 350,200.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.