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Finding the Third Proportional to 101.57 and 235.56

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Solution

The third proportional to 101.57 and 235.56 is: 546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.57 : 235.56 = 235.56 : x
  2. Step 2: Convert to fraction form
    101.57/235.56 = 235.56/x
  3. Step 3: Cross multiply
    101.57x = 235.56 × 235.56
  4. Step 4: Simplify right side
    101.57x = 55,490.61
  5. Step 5: Solve for x
    x = 55,490.61/101.57
  6. Step 6: Final answer
    x = 546.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.