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Finding the Third Proportional to 106,407 and 230,526

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Solution

The third proportional to 106,407 and 230,526 is: 499,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,407 : 230,526 = 230,526 : x
  2. Step 2: Convert to fraction form
    106,407/230,526 = 230,526/x
  3. Step 3: Cross multiply
    106,407x = 230,526 × 230,526
  4. Step 4: Simplify right side
    106,407x = 53,142,236,676
  5. Step 5: Solve for x
    x = 53,142,236,676/106,407
  6. Step 6: Final answer
    x = 499,424.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.