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Finding the Third Proportional to 164,398.50 and 353,366

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Solution

The third proportional to 164,398.50 and 353,366 is: 759,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,398.50 : 353,366 = 353,366 : x
  2. Step 2: Convert to fraction form
    164,398.50/353,366 = 353,366/x
  3. Step 3: Cross multiply
    164,398.50x = 353,366 × 353,366
  4. Step 4: Simplify right side
    164,398.50x = 124,867,529,956
  5. Step 5: Solve for x
    x = 124,867,529,956/164,398.50
  6. Step 6: Final answer
    x = 759,541.78

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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.