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Finding the Third Proportional to 107,324 and 233,089

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Solution

The third proportional to 107,324 and 233,089 is: 506,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,324 : 233,089 = 233,089 : x
  2. Step 2: Convert to fraction form
    107,324/233,089 = 233,089/x
  3. Step 3: Cross multiply
    107,324x = 233,089 × 233,089
  4. Step 4: Simplify right side
    107,324x = 54,330,481,921
  5. Step 5: Solve for x
    x = 54,330,481,921/107,324
  6. Step 6: Final answer
    x = 506,228.63

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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.