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Finding the Third Proportional to 171,908 and 233,465

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Solution

The third proportional to 171,908 and 233,465 is: 317,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,908 : 233,465 = 233,465 : x
  2. Step 2: Convert to fraction form
    171,908/233,465 = 233,465/x
  3. Step 3: Cross multiply
    171,908x = 233,465 × 233,465
  4. Step 4: Simplify right side
    171,908x = 54,505,906,225
  5. Step 5: Solve for x
    x = 54,505,906,225/171,908
  6. Step 6: Final answer
    x = 317,064.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.