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Finding the Third Proportional to 164,338 and 336,464

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Solution

The third proportional to 164,338 and 336,464 is: 688,873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,338 : 336,464 = 336,464 : x
  2. Step 2: Convert to fraction form
    164,338/336,464 = 336,464/x
  3. Step 3: Cross multiply
    164,338x = 336,464 × 336,464
  4. Step 4: Simplify right side
    164,338x = 113,208,023,296
  5. Step 5: Solve for x
    x = 113,208,023,296/164,338
  6. Step 6: Final answer
    x = 688,873.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.