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Finding the Third Proportional to 293.13 and 543.01

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Solution

The third proportional to 293.13 and 543.01 is: 1,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 543.01 = 543.01 : x
  2. Step 2: Convert to fraction form
    293.13/543.01 = 543.01/x
  3. Step 3: Cross multiply
    293.13x = 543.01 × 543.01
  4. Step 4: Simplify right side
    293.13x = 294,862.52
  5. Step 5: Solve for x
    x = 294,862.52/293.13
  6. Step 6: Final answer
    x = 1,005.91

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.