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Finding the Third Proportional to 134.13 and 293.88

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Solution

The third proportional to 134.13 and 293.88 is: 643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.13 : 293.88 = 293.88 : x
  2. Step 2: Convert to fraction form
    134.13/293.88 = 293.88/x
  3. Step 3: Cross multiply
    134.13x = 293.88 × 293.88
  4. Step 4: Simplify right side
    134.13x = 86,362.52
  5. Step 5: Solve for x
    x = 86,362.52/134.13
  6. Step 6: Final answer
    x = 643.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.