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Finding the Third Proportional to 305.75 and 471.88

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Solution

The third proportional to 305.75 and 471.88 is: 728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 471.88 = 471.88 : x
  2. Step 2: Convert to fraction form
    305.75/471.88 = 471.88/x
  3. Step 3: Cross multiply
    305.75x = 471.88 × 471.88
  4. Step 4: Simplify right side
    305.75x = 222,666.02
  5. Step 5: Solve for x
    x = 222,666.02/305.75
  6. Step 6: Final answer
    x = 728.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.