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Finding the Third Proportional to 135.58 and 292.52

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Solution

The third proportional to 135.58 and 292.52 is: 631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.58 : 292.52 = 292.52 : x
  2. Step 2: Convert to fraction form
    135.58/292.52 = 292.52/x
  3. Step 3: Cross multiply
    135.58x = 292.52 × 292.52
  4. Step 4: Simplify right side
    135.58x = 85,566.53
  5. Step 5: Solve for x
    x = 85,566.53/135.58
  6. Step 6: Final answer
    x = 631.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.