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Finding the Third Proportional to 162,334 and 355,801

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Solution

The third proportional to 162,334 and 355,801 is: 779,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,334 : 355,801 = 355,801 : x
  2. Step 2: Convert to fraction form
    162,334/355,801 = 355,801/x
  3. Step 3: Cross multiply
    162,334x = 355,801 × 355,801
  4. Step 4: Simplify right side
    162,334x = 126,594,351,601
  5. Step 5: Solve for x
    x = 126,594,351,601/162,334
  6. Step 6: Final answer
    x = 779,838.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.