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Finding the Third Proportional to 265.13 and 344.81

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Solution

The third proportional to 265.13 and 344.81 is: 448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.13 : 344.81 = 344.81 : x
  2. Step 2: Convert to fraction form
    265.13/344.81 = 344.81/x
  3. Step 3: Cross multiply
    265.13x = 344.81 × 344.81
  4. Step 4: Simplify right side
    265.13x = 118,895.66
  5. Step 5: Solve for x
    x = 118,895.66/265.13
  6. Step 6: Final answer
    x = 448.45

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.