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Finding the Third Proportional to 107,074 and 230,590

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Solution

The third proportional to 107,074 and 230,590 is: 496,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,074 : 230,590 = 230,590 : x
  2. Step 2: Convert to fraction form
    107,074/230,590 = 230,590/x
  3. Step 3: Cross multiply
    107,074x = 230,590 × 230,590
  4. Step 4: Simplify right side
    107,074x = 53,171,748,100
  5. Step 5: Solve for x
    x = 53,171,748,100/107,074
  6. Step 6: Final answer
    x = 496,588.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.