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Finding the Third Proportional to 343.13 and 533.81

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Solution

The third proportional to 343.13 and 533.81 is: 830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 533.81 = 533.81 : x
  2. Step 2: Convert to fraction form
    343.13/533.81 = 533.81/x
  3. Step 3: Cross multiply
    343.13x = 533.81 × 533.81
  4. Step 4: Simplify right side
    343.13x = 284,955.79
  5. Step 5: Solve for x
    x = 284,955.79/343.13
  6. Step 6: Final answer
    x = 830.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.