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Finding the Third Proportional to 164,664 and 354,294

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Solution

The third proportional to 164,664 and 354,294 is: 762,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,664 : 354,294 = 354,294 : x
  2. Step 2: Convert to fraction form
    164,664/354,294 = 354,294/x
  3. Step 3: Cross multiply
    164,664x = 354,294 × 354,294
  4. Step 4: Simplify right side
    164,664x = 125,524,238,436
  5. Step 5: Solve for x
    x = 125,524,238,436/164,664
  6. Step 6: Final answer
    x = 762,305.29

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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.