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Finding the Third Proportional to 155,142 and 335,040

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Solution

The third proportional to 155,142 and 335,040 is: 723,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,142 : 335,040 = 335,040 : x
  2. Step 2: Convert to fraction form
    155,142/335,040 = 335,040/x
  3. Step 3: Cross multiply
    155,142x = 335,040 × 335,040
  4. Step 4: Simplify right side
    155,142x = 112,251,801,600
  5. Step 5: Solve for x
    x = 112,251,801,600/155,142
  6. Step 6: Final answer
    x = 723,542.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.