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Finding the Third Proportional to 147.77 and 236.07

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Solution

The third proportional to 147.77 and 236.07 is: 377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.77 : 236.07 = 236.07 : x
  2. Step 2: Convert to fraction form
    147.77/236.07 = 236.07/x
  3. Step 3: Cross multiply
    147.77x = 236.07 × 236.07
  4. Step 4: Simplify right side
    147.77x = 55,727.28
  5. Step 5: Solve for x
    x = 55,727.28/147.77
  6. Step 6: Final answer
    x = 377.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.