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Finding the Third Proportional to 262.13 and 392.06

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Solution

The third proportional to 262.13 and 392.06 is: 586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.13 : 392.06 = 392.06 : x
  2. Step 2: Convert to fraction form
    262.13/392.06 = 392.06/x
  3. Step 3: Cross multiply
    262.13x = 392.06 × 392.06
  4. Step 4: Simplify right side
    262.13x = 153,713.00
  5. Step 5: Solve for x
    x = 153,713.00/262.13
  6. Step 6: Final answer
    x = 586.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.