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Finding the Third Proportional to 107,826 and 232,008

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Solution

The third proportional to 107,826 and 232,008 is: 499,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,826 : 232,008 = 232,008 : x
  2. Step 2: Convert to fraction form
    107,826/232,008 = 232,008/x
  3. Step 3: Cross multiply
    107,826x = 232,008 × 232,008
  4. Step 4: Simplify right side
    107,826x = 53,827,712,064
  5. Step 5: Solve for x
    x = 53,827,712,064/107,826
  6. Step 6: Final answer
    x = 499,209.02

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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.