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Finding the Third Proportional to 192,542.38 and 429,356.13

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Solution

The third proportional to 192,542.38 and 429,356.13 is: 957,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,542.38 : 429,356.13 = 429,356.13 : x
  2. Step 2: Convert to fraction form
    192,542.38/429,356.13 = 429,356.13/x
  3. Step 3: Cross multiply
    192,542.38x = 429,356.13 × 429,356.13
  4. Step 4: Simplify right side
    192,542.38x = 184,346,682,075.02
  5. Step 5: Solve for x
    x = 184,346,682,075.02/192,542.38
  6. Step 6: Final answer
    x = 957,434.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.