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Finding the Third Proportional to 235,284.75 and 355,134.38

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Solution

The third proportional to 235,284.75 and 355,134.38 is: 536,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,284.75 : 355,134.38 = 355,134.38 : x
  2. Step 2: Convert to fraction form
    235,284.75/355,134.38 = 355,134.38/x
  3. Step 3: Cross multiply
    235,284.75x = 355,134.38 × 355,134.38
  4. Step 4: Simplify right side
    235,284.75x = 126,120,424,306.64
  5. Step 5: Solve for x
    x = 126,120,424,306.64/235,284.75
  6. Step 6: Final answer
    x = 536,033.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.