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Finding the Third Proportional to 211,793.06 and 322,655.91

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Solution

The third proportional to 211,793.06 and 322,655.91 is: 491,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,793.06 : 322,655.91 = 322,655.91 : x
  2. Step 2: Convert to fraction form
    211,793.06/322,655.91 = 322,655.91/x
  3. Step 3: Cross multiply
    211,793.06x = 322,655.91 × 322,655.91
  4. Step 4: Simplify right side
    211,793.06x = 104,106,833,838.01
  5. Step 5: Solve for x
    x = 104,106,833,838.01/211,793.06
  6. Step 6: Final answer
    x = 491,549.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.