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Finding the Third Proportional to 140.34 and 292.22

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Solution

The third proportional to 140.34 and 292.22 is: 608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.34 : 292.22 = 292.22 : x
  2. Step 2: Convert to fraction form
    140.34/292.22 = 292.22/x
  3. Step 3: Cross multiply
    140.34x = 292.22 × 292.22
  4. Step 4: Simplify right side
    140.34x = 85,391.80
  5. Step 5: Solve for x
    x = 85,391.80/140.34
  6. Step 6: Final answer
    x = 608.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.