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Finding the Third Proportional to 106,040 and 230,738

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Solution

The third proportional to 106,040 and 230,738 is: 502,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,040 : 230,738 = 230,738 : x
  2. Step 2: Convert to fraction form
    106,040/230,738 = 230,738/x
  3. Step 3: Cross multiply
    106,040x = 230,738 × 230,738
  4. Step 4: Simplify right side
    106,040x = 53,240,024,644
  5. Step 5: Solve for x
    x = 53,240,024,644/106,040
  6. Step 6: Final answer
    x = 502,074.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.