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Finding the Third Proportional to 105,733 and 232,399

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Solution

The third proportional to 105,733 and 232,399 is: 510,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,733 : 232,399 = 232,399 : x
  2. Step 2: Convert to fraction form
    105,733/232,399 = 232,399/x
  3. Step 3: Cross multiply
    105,733x = 232,399 × 232,399
  4. Step 4: Simplify right side
    105,733x = 54,009,295,201
  5. Step 5: Solve for x
    x = 54,009,295,201/105,733
  6. Step 6: Final answer
    x = 510,808.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.