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Finding the Third Proportional to 230,208.75 and 471,487.50

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Solution

The third proportional to 230,208.75 and 471,487.50 is: 965,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,208.75 : 471,487.50 = 471,487.50 : x
  2. Step 2: Convert to fraction form
    230,208.75/471,487.50 = 471,487.50/x
  3. Step 3: Cross multiply
    230,208.75x = 471,487.50 × 471,487.50
  4. Step 4: Simplify right side
    230,208.75x = 222,300,462,656.25
  5. Step 5: Solve for x
    x = 222,300,462,656.25/230,208.75
  6. Step 6: Final answer
    x = 965,647.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.