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Finding the Third Proportional to 161,802 and 336,516

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Solution

The third proportional to 161,802 and 336,516 is: 699,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,802 : 336,516 = 336,516 : x
  2. Step 2: Convert to fraction form
    161,802/336,516 = 336,516/x
  3. Step 3: Cross multiply
    161,802x = 336,516 × 336,516
  4. Step 4: Simplify right side
    161,802x = 113,243,018,256
  5. Step 5: Solve for x
    x = 113,243,018,256/161,802
  6. Step 6: Final answer
    x = 699,886.39

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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.