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Finding the Third Proportional to 141.50 and 291.88

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Solution

The third proportional to 141.50 and 291.88 is: 602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.50 : 291.88 = 291.88 : x
  2. Step 2: Convert to fraction form
    141.50/291.88 = 291.88/x
  3. Step 3: Cross multiply
    141.50x = 291.88 × 291.88
  4. Step 4: Simplify right side
    141.50x = 85,191.02
  5. Step 5: Solve for x
    x = 85,191.02/141.50
  6. Step 6: Final answer
    x = 602.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.