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Finding the Third Proportional to 213,836.63 and 497,223.56

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Solution

The third proportional to 213,836.63 and 497,223.56 is: 1,156,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,836.63 : 497,223.56 = 497,223.56 : x
  2. Step 2: Convert to fraction form
    213,836.63/497,223.56 = 497,223.56/x
  3. Step 3: Cross multiply
    213,836.63x = 497,223.56 × 497,223.56
  4. Step 4: Simplify right side
    213,836.63x = 247,231,271,105.19
  5. Step 5: Solve for x
    x = 247,231,271,105.19/213,836.63
  6. Step 6: Final answer
    x = 1,156,168.97

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.