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Finding the Third Proportional to 107,766 and 232,740

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Solution

The third proportional to 107,766 and 232,740 is: 502,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,766 : 232,740 = 232,740 : x
  2. Step 2: Convert to fraction form
    107,766/232,740 = 232,740/x
  3. Step 3: Cross multiply
    107,766x = 232,740 × 232,740
  4. Step 4: Simplify right side
    107,766x = 54,167,907,600
  5. Step 5: Solve for x
    x = 54,167,907,600/107,766
  6. Step 6: Final answer
    x = 502,643.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.