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Finding the Third Proportional to 164,328 and 336,444

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Solution

The third proportional to 164,328 and 336,444 is: 688,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,328 : 336,444 = 336,444 : x
  2. Step 2: Convert to fraction form
    164,328/336,444 = 336,444/x
  3. Step 3: Cross multiply
    164,328x = 336,444 × 336,444
  4. Step 4: Simplify right side
    164,328x = 113,194,565,136
  5. Step 5: Solve for x
    x = 113,194,565,136/164,328
  6. Step 6: Final answer
    x = 688,833.10

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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.