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Finding the Third Proportional to 164,218 and 354,072

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Solution

The third proportional to 164,218 and 354,072 is: 763,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,218 : 354,072 = 354,072 : x
  2. Step 2: Convert to fraction form
    164,218/354,072 = 354,072/x
  3. Step 3: Cross multiply
    164,218x = 354,072 × 354,072
  4. Step 4: Simplify right side
    164,218x = 125,366,981,184
  5. Step 5: Solve for x
    x = 125,366,981,184/164,218
  6. Step 6: Final answer
    x = 763,418.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.