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Finding the Third Proportional to 162,938 and 354,838

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Solution

The third proportional to 162,938 and 354,838 is: 772,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,938 : 354,838 = 354,838 : x
  2. Step 2: Convert to fraction form
    162,938/354,838 = 354,838/x
  3. Step 3: Cross multiply
    162,938x = 354,838 × 354,838
  4. Step 4: Simplify right side
    162,938x = 125,910,006,244
  5. Step 5: Solve for x
    x = 125,910,006,244/162,938
  6. Step 6: Final answer
    x = 772,747.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.