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Finding the Third Proportional to 172,802 and 259,203

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Solution

The third proportional to 172,802 and 259,203 is: 388,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,802 : 259,203 = 259,203 : x
  2. Step 2: Convert to fraction form
    172,802/259,203 = 259,203/x
  3. Step 3: Cross multiply
    172,802x = 259,203 × 259,203
  4. Step 4: Simplify right side
    172,802x = 67,186,195,209
  5. Step 5: Solve for x
    x = 67,186,195,209/172,802
  6. Step 6: Final answer
    x = 388,804.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.