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Finding the Third Proportional to 162,784 and 338,044

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Solution

The third proportional to 162,784 and 338,044 is: 701,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,784 : 338,044 = 338,044 : x
  2. Step 2: Convert to fraction form
    162,784/338,044 = 338,044/x
  3. Step 3: Cross multiply
    162,784x = 338,044 × 338,044
  4. Step 4: Simplify right side
    162,784x = 114,273,745,936
  5. Step 5: Solve for x
    x = 114,273,745,936/162,784
  6. Step 6: Final answer
    x = 701,996.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.