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Finding the Third Proportional to 163,352 and 350,339

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Solution

The third proportional to 163,352 and 350,339 is: 751,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,352 : 350,339 = 350,339 : x
  2. Step 2: Convert to fraction form
    163,352/350,339 = 350,339/x
  3. Step 3: Cross multiply
    163,352x = 350,339 × 350,339
  4. Step 4: Simplify right side
    163,352x = 122,737,414,921
  5. Step 5: Solve for x
    x = 122,737,414,921/163,352
  6. Step 6: Final answer
    x = 751,367.69

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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.