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Finding the Third Proportional to 261.38 and 392.06

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Solution

The third proportional to 261.38 and 392.06 is: 588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 392.06 = 392.06 : x
  2. Step 2: Convert to fraction form
    261.38/392.06 = 392.06/x
  3. Step 3: Cross multiply
    261.38x = 392.06 × 392.06
  4. Step 4: Simplify right side
    261.38x = 153,713.00
  5. Step 5: Solve for x
    x = 153,713.00/261.38
  6. Step 6: Final answer
    x = 588.09

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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.