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Finding the Third Proportional to 172.13 and 293.63

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Solution

The third proportional to 172.13 and 293.63 is: 500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 293.63 = 293.63 : x
  2. Step 2: Convert to fraction form
    172.13/293.63 = 293.63/x
  3. Step 3: Cross multiply
    172.13x = 293.63 × 293.63
  4. Step 4: Simplify right side
    172.13x = 86,215.64
  5. Step 5: Solve for x
    x = 86,215.64/172.13
  6. Step 6: Final answer
    x = 500.89

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.