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Finding the Third Proportional to 164,320 and 336,424

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Solution

The third proportional to 164,320 and 336,424 is: 688,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,320 : 336,424 = 336,424 : x
  2. Step 2: Convert to fraction form
    164,320/336,424 = 336,424/x
  3. Step 3: Cross multiply
    164,320x = 336,424 × 336,424
  4. Step 4: Simplify right side
    164,320x = 113,181,107,776
  5. Step 5: Solve for x
    x = 113,181,107,776/164,320
  6. Step 6: Final answer
    x = 688,784.74

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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.