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Finding the Third Proportional to 145.97 and 225.70

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Solution

The third proportional to 145.97 and 225.70 is: 348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 225.70 = 225.70 : x
  2. Step 2: Convert to fraction form
    145.97/225.70 = 225.70/x
  3. Step 3: Cross multiply
    145.97x = 225.70 × 225.70
  4. Step 4: Simplify right side
    145.97x = 50,941.90
  5. Step 5: Solve for x
    x = 50,941.90/145.97
  6. Step 6: Final answer
    x = 348.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.