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Finding the Third Proportional to 172,054.50 and 262,455

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Solution

The third proportional to 172,054.50 and 262,455 is: 400,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,054.50 : 262,455 = 262,455 : x
  2. Step 2: Convert to fraction form
    172,054.50/262,455 = 262,455/x
  3. Step 3: Cross multiply
    172,054.50x = 262,455 × 262,455
  4. Step 4: Simplify right side
    172,054.50x = 68,882,627,025
  5. Step 5: Solve for x
    x = 68,882,627,025/172,054.50
  6. Step 6: Final answer
    x = 400,353.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.