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Finding the Third Proportional to 107,153 and 233,355

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Solution

The third proportional to 107,153 and 233,355 is: 508,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,153 : 233,355 = 233,355 : x
  2. Step 2: Convert to fraction form
    107,153/233,355 = 233,355/x
  3. Step 3: Cross multiply
    107,153x = 233,355 × 233,355
  4. Step 4: Simplify right side
    107,153x = 54,454,556,025
  5. Step 5: Solve for x
    x = 54,454,556,025/107,153
  6. Step 6: Final answer
    x = 508,194.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.