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Finding the Third Proportional to 265.13 and 434.81

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Solution

The third proportional to 265.13 and 434.81 is: 713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.13 : 434.81 = 434.81 : x
  2. Step 2: Convert to fraction form
    265.13/434.81 = 434.81/x
  3. Step 3: Cross multiply
    265.13x = 434.81 × 434.81
  4. Step 4: Simplify right side
    265.13x = 189,061.91
  5. Step 5: Solve for x
    x = 189,061.91/265.13
  6. Step 6: Final answer
    x = 713.10

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.