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Finding the Third Proportional to 245.85 and 328.90

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Solution

The third proportional to 245.85 and 328.90 is: 440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.85 : 328.90 = 328.90 : x
  2. Step 2: Convert to fraction form
    245.85/328.90 = 328.90/x
  3. Step 3: Cross multiply
    245.85x = 328.90 × 328.90
  4. Step 4: Simplify right side
    245.85x = 108,178.04
  5. Step 5: Solve for x
    x = 108,178.04/245.85
  6. Step 6: Final answer
    x = 440.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.