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Finding the Third Proportional to 131.70 and 291.17

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Solution

The third proportional to 131.70 and 291.17 is: 643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 291.17 = 291.17 : x
  2. Step 2: Convert to fraction form
    131.70/291.17 = 291.17/x
  3. Step 3: Cross multiply
    131.70x = 291.17 × 291.17
  4. Step 4: Simplify right side
    131.70x = 84,781.63
  5. Step 5: Solve for x
    x = 84,781.63/131.70
  6. Step 6: Final answer
    x = 643.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.