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Finding the Third Proportional to 141.47 and 288.69

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Solution

The third proportional to 141.47 and 288.69 is: 589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 288.69 = 288.69 : x
  2. Step 2: Convert to fraction form
    141.47/288.69 = 288.69/x
  3. Step 3: Cross multiply
    141.47x = 288.69 × 288.69
  4. Step 4: Simplify right side
    141.47x = 83,340.47
  5. Step 5: Solve for x
    x = 83,340.47/141.47
  6. Step 6: Final answer
    x = 589.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.