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Finding the Third Proportional to 162,331 and 355,795

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Solution

The third proportional to 162,331 and 355,795 is: 779,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,331 : 355,795 = 355,795 : x
  2. Step 2: Convert to fraction form
    162,331/355,795 = 355,795/x
  3. Step 3: Cross multiply
    162,331x = 355,795 × 355,795
  4. Step 4: Simplify right side
    162,331x = 126,590,082,025
  5. Step 5: Solve for x
    x = 126,590,082,025/162,331
  6. Step 6: Final answer
    x = 779,826.91

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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.