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Finding the Third Proportional to 218,192 and 333,632

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Solution

The third proportional to 218,192 and 333,632 is: 510,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,192 : 333,632 = 333,632 : x
  2. Step 2: Convert to fraction form
    218,192/333,632 = 333,632/x
  3. Step 3: Cross multiply
    218,192x = 333,632 × 333,632
  4. Step 4: Simplify right side
    218,192x = 111,310,311,424
  5. Step 5: Solve for x
    x = 111,310,311,424/218,192
  6. Step 6: Final answer
    x = 510,148.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.