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Finding the Third Proportional to 235,040 and 358,067

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Solution

The third proportional to 235,040 and 358,067 is: 545,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,040 : 358,067 = 358,067 : x
  2. Step 2: Convert to fraction form
    235,040/358,067 = 358,067/x
  3. Step 3: Cross multiply
    235,040x = 358,067 × 358,067
  4. Step 4: Simplify right side
    235,040x = 128,211,976,489
  5. Step 5: Solve for x
    x = 128,211,976,489/235,040
  6. Step 6: Final answer
    x = 545,490.03

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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.