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Finding the Third Proportional to 172.13 and 243.84

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Solution

The third proportional to 172.13 and 243.84 is: 345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 243.84 = 243.84 : x
  2. Step 2: Convert to fraction form
    172.13/243.84 = 243.84/x
  3. Step 3: Cross multiply
    172.13x = 243.84 × 243.84
  4. Step 4: Simplify right side
    172.13x = 59,459.77
  5. Step 5: Solve for x
    x = 59,459.77/172.13
  6. Step 6: Final answer
    x = 345.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.