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Finding the Third Proportional to 145,453.92 and 320,067.84

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Solution

The third proportional to 145,453.92 and 320,067.84 is: 704,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453.92 : 320,067.84 = 320,067.84 : x
  2. Step 2: Convert to fraction form
    145,453.92/320,067.84 = 320,067.84/x
  3. Step 3: Cross multiply
    145,453.92x = 320,067.84 × 320,067.84
  4. Step 4: Simplify right side
    145,453.92x = 102,443,424,602.77
  5. Step 5: Solve for x
    x = 102,443,424,602.77/145,453.92
  6. Step 6: Final answer
    x = 704,301.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.