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Finding the Third Proportional to 261.56 and 464.06

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Solution

The third proportional to 261.56 and 464.06 is: 823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 464.06 = 464.06 : x
  2. Step 2: Convert to fraction form
    261.56/464.06 = 464.06/x
  3. Step 3: Cross multiply
    261.56x = 464.06 × 464.06
  4. Step 4: Simplify right side
    261.56x = 215,354.00
  5. Step 5: Solve for x
    x = 215,354.00/261.56
  6. Step 6: Final answer
    x = 823.34

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.