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Finding the Third Proportional to 251,268.75 and 388,567.13

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Solution

The third proportional to 251,268.75 and 388,567.13 is: 600,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,268.75 : 388,567.13 = 388,567.13 : x
  2. Step 2: Convert to fraction form
    251,268.75/388,567.13 = 388,567.13/x
  3. Step 3: Cross multiply
    251,268.75x = 388,567.13 × 388,567.13
  4. Step 4: Simplify right side
    251,268.75x = 150,984,410,630.77
  5. Step 5: Solve for x
    x = 150,984,410,630.77/251,268.75
  6. Step 6: Final answer
    x = 600,888.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.