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Finding the Third Proportional to 64.97 and 152.72

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Solution

The third proportional to 64.97 and 152.72 is: 358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 152.72 = 152.72 : x
  2. Step 2: Convert to fraction form
    64.97/152.72 = 152.72/x
  3. Step 3: Cross multiply
    64.97x = 152.72 × 152.72
  4. Step 4: Simplify right side
    64.97x = 23,323.02
  5. Step 5: Solve for x
    x = 23,323.02/64.97
  6. Step 6: Final answer
    x = 358.99

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