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Finding the Third Proportional to 230.06 and 540.56

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Solution

The third proportional to 230.06 and 540.56 is: 1,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 540.56 = 540.56 : x
  2. Step 2: Convert to fraction form
    230.06/540.56 = 540.56/x
  3. Step 3: Cross multiply
    230.06x = 540.56 × 540.56
  4. Step 4: Simplify right side
    230.06x = 292,207.82
  5. Step 5: Solve for x
    x = 292,207.82/230.06
  6. Step 6: Final answer
    x = 1,270.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.