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Finding the Third Proportional to 199,106 and 421,528

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Solution

The third proportional to 199,106 and 421,528 is: 892,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,106 : 421,528 = 421,528 : x
  2. Step 2: Convert to fraction form
    199,106/421,528 = 421,528/x
  3. Step 3: Cross multiply
    199,106x = 421,528 × 421,528
  4. Step 4: Simplify right side
    199,106x = 177,685,854,784
  5. Step 5: Solve for x
    x = 177,685,854,784/199,106
  6. Step 6: Final answer
    x = 892,418.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.