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Finding the Third Proportional to 164,442 and 352,212

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Solution

The third proportional to 164,442 and 352,212 is: 754,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,442 : 352,212 = 352,212 : x
  2. Step 2: Convert to fraction form
    164,442/352,212 = 352,212/x
  3. Step 3: Cross multiply
    164,442x = 352,212 × 352,212
  4. Step 4: Simplify right side
    164,442x = 124,053,292,944
  5. Step 5: Solve for x
    x = 124,053,292,944/164,442
  6. Step 6: Final answer
    x = 754,389.35

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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.