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Finding the Third Proportional to 201.47 and 473.16

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Solution

The third proportional to 201.47 and 473.16 is: 1,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.47 : 473.16 = 473.16 : x
  2. Step 2: Convert to fraction form
    201.47/473.16 = 473.16/x
  3. Step 3: Cross multiply
    201.47x = 473.16 × 473.16
  4. Step 4: Simplify right side
    201.47x = 223,876.84
  5. Step 5: Solve for x
    x = 223,876.84/201.47
  6. Step 6: Final answer
    x = 1,111.22

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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.