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Finding the Third Proportional to 162,716.25 and 350,409

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Solution

The third proportional to 162,716.25 and 350,409 is: 754,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,716.25 : 350,409 = 350,409 : x
  2. Step 2: Convert to fraction form
    162,716.25/350,409 = 350,409/x
  3. Step 3: Cross multiply
    162,716.25x = 350,409 × 350,409
  4. Step 4: Simplify right side
    162,716.25x = 122,786,467,281
  5. Step 5: Solve for x
    x = 122,786,467,281/162,716.25
  6. Step 6: Final answer
    x = 754,604.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.