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Finding the Third Proportional to 291.23 and 602.16

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Solution

The third proportional to 291.23 and 602.16 is: 1,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.23 : 602.16 = 602.16 : x
  2. Step 2: Convert to fraction form
    291.23/602.16 = 602.16/x
  3. Step 3: Cross multiply
    291.23x = 602.16 × 602.16
  4. Step 4: Simplify right side
    291.23x = 362,592.15
  5. Step 5: Solve for x
    x = 362,592.15/291.23
  6. Step 6: Final answer
    x = 1,245.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.