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Finding the Third Proportional to 98.34 and 229.69

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Solution

The third proportional to 98.34 and 229.69 is: 536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 229.69 = 229.69 : x
  2. Step 2: Convert to fraction form
    98.34/229.69 = 229.69/x
  3. Step 3: Cross multiply
    98.34x = 229.69 × 229.69
  4. Step 4: Simplify right side
    98.34x = 52,756.35
  5. Step 5: Solve for x
    x = 52,756.35/98.34
  6. Step 6: Final answer
    x = 536.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.