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Finding the Third Proportional to 164,444 and 352,214

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Solution

The third proportional to 164,444 and 352,214 is: 754,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,444 : 352,214 = 352,214 : x
  2. Step 2: Convert to fraction form
    164,444/352,214 = 352,214/x
  3. Step 3: Cross multiply
    164,444x = 352,214 × 352,214
  4. Step 4: Simplify right side
    164,444x = 124,054,701,796
  5. Step 5: Solve for x
    x = 124,054,701,796/164,444
  6. Step 6: Final answer
    x = 754,388.74

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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.