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Finding the Third Proportional to 194,211 and 421,015.50

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Solution

The third proportional to 194,211 and 421,015.50 is: 912,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,211 : 421,015.50 = 421,015.50 : x
  2. Step 2: Convert to fraction form
    194,211/421,015.50 = 421,015.50/x
  3. Step 3: Cross multiply
    194,211x = 421,015.50 × 421,015.50
  4. Step 4: Simplify right side
    194,211x = 177,254,051,240.25
  5. Step 5: Solve for x
    x = 177,254,051,240.25/194,211
  6. Step 6: Final answer
    x = 912,688.01

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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.