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Finding the Third Proportional to 164,328 and 353,564

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Solution

The third proportional to 164,328 and 353,564 is: 760,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,328 : 353,564 = 353,564 : x
  2. Step 2: Convert to fraction form
    164,328/353,564 = 353,564/x
  3. Step 3: Cross multiply
    164,328x = 353,564 × 353,564
  4. Step 4: Simplify right side
    164,328x = 125,007,502,096
  5. Step 5: Solve for x
    x = 125,007,502,096/164,328
  6. Step 6: Final answer
    x = 760,719.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.