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Finding the Third Proportional to 149.98 and 320.84

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Solution

The third proportional to 149.98 and 320.84 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.98 : 320.84 = 320.84 : x
  2. Step 2: Convert to fraction form
    149.98/320.84 = 320.84/x
  3. Step 3: Cross multiply
    149.98x = 320.84 × 320.84
  4. Step 4: Simplify right side
    149.98x = 102,935.70
  5. Step 5: Solve for x
    x = 102,935.70/149.98
  6. Step 6: Final answer
    x = 686.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.