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Finding the Third Proportional to 164,458 and 352,238

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Solution

The third proportional to 164,458 and 352,238 is: 754,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,458 : 352,238 = 352,238 : x
  2. Step 2: Convert to fraction form
    164,458/352,238 = 352,238/x
  3. Step 3: Cross multiply
    164,458x = 352,238 × 352,238
  4. Step 4: Simplify right side
    164,458x = 124,071,608,644
  5. Step 5: Solve for x
    x = 124,071,608,644/164,458
  6. Step 6: Final answer
    x = 754,427.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.