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Finding the Third Proportional to 211,180.50 and 425,817

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Solution

The third proportional to 211,180.50 and 425,817 is: 858,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,180.50 : 425,817 = 425,817 : x
  2. Step 2: Convert to fraction form
    211,180.50/425,817 = 425,817/x
  3. Step 3: Cross multiply
    211,180.50x = 425,817 × 425,817
  4. Step 4: Simplify right side
    211,180.50x = 181,320,117,489
  5. Step 5: Solve for x
    x = 181,320,117,489/211,180.50
  6. Step 6: Final answer
    x = 858,602.56

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.