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Finding the Third Proportional to 153.94 and 243.47

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Solution

The third proportional to 153.94 and 243.47 is: 385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.94 : 243.47 = 243.47 : x
  2. Step 2: Convert to fraction form
    153.94/243.47 = 243.47/x
  3. Step 3: Cross multiply
    153.94x = 243.47 × 243.47
  4. Step 4: Simplify right side
    153.94x = 59,277.03
  5. Step 5: Solve for x
    x = 59,277.03/153.94
  6. Step 6: Final answer
    x = 385.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.