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Finding the Third Proportional to 108,146 and 232,932

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Solution

The third proportional to 108,146 and 232,932 is: 501,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,146 : 232,932 = 232,932 : x
  2. Step 2: Convert to fraction form
    108,146/232,932 = 232,932/x
  3. Step 3: Cross multiply
    108,146x = 232,932 × 232,932
  4. Step 4: Simplify right side
    108,146x = 54,257,316,624
  5. Step 5: Solve for x
    x = 54,257,316,624/108,146
  6. Step 6: Final answer
    x = 501,704.33

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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.