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Finding the Third Proportional to 147.23 and 260.93

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Solution

The third proportional to 147.23 and 260.93 is: 462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.23 : 260.93 = 260.93 : x
  2. Step 2: Convert to fraction form
    147.23/260.93 = 260.93/x
  3. Step 3: Cross multiply
    147.23x = 260.93 × 260.93
  4. Step 4: Simplify right side
    147.23x = 68,084.30
  5. Step 5: Solve for x
    x = 68,084.30/147.23
  6. Step 6: Final answer
    x = 462.42

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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.