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Finding the Third Proportional to 107,296 and 232,511

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Solution

The third proportional to 107,296 and 232,511 is: 503,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,296 : 232,511 = 232,511 : x
  2. Step 2: Convert to fraction form
    107,296/232,511 = 232,511/x
  3. Step 3: Cross multiply
    107,296x = 232,511 × 232,511
  4. Step 4: Simplify right side
    107,296x = 54,061,365,121
  5. Step 5: Solve for x
    x = 54,061,365,121/107,296
  6. Step 6: Final answer
    x = 503,852.57

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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.