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Finding the Third Proportional to 162,737 and 351,794

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Solution

The third proportional to 162,737 and 351,794 is: 760,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,737 : 351,794 = 351,794 : x
  2. Step 2: Convert to fraction form
    162,737/351,794 = 351,794/x
  3. Step 3: Cross multiply
    162,737x = 351,794 × 351,794
  4. Step 4: Simplify right side
    162,737x = 123,759,018,436
  5. Step 5: Solve for x
    x = 123,759,018,436/162,737
  6. Step 6: Final answer
    x = 760,484.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.