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Finding the Third Proportional to 145.69 and 271.55

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Solution

The third proportional to 145.69 and 271.55 is: 506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.69 : 271.55 = 271.55 : x
  2. Step 2: Convert to fraction form
    145.69/271.55 = 271.55/x
  3. Step 3: Cross multiply
    145.69x = 271.55 × 271.55
  4. Step 4: Simplify right side
    145.69x = 73,737.71
  5. Step 5: Solve for x
    x = 73,737.71/145.69
  6. Step 6: Final answer
    x = 506.14

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.