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Finding the Third Proportional to 163,516 and 350,675

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Solution

The third proportional to 163,516 and 350,675 is: 752,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,516 : 350,675 = 350,675 : x
  2. Step 2: Convert to fraction form
    163,516/350,675 = 350,675/x
  3. Step 3: Cross multiply
    163,516x = 350,675 × 350,675
  4. Step 4: Simplify right side
    163,516x = 122,972,955,625
  5. Step 5: Solve for x
    x = 122,972,955,625/163,516
  6. Step 6: Final answer
    x = 752,054.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.