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Finding the Third Proportional to 164,874 and 355,348

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Solution

The third proportional to 164,874 and 355,348 is: 765,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,874 : 355,348 = 355,348 : x
  2. Step 2: Convert to fraction form
    164,874/355,348 = 355,348/x
  3. Step 3: Cross multiply
    164,874x = 355,348 × 355,348
  4. Step 4: Simplify right side
    164,874x = 126,272,201,104
  5. Step 5: Solve for x
    x = 126,272,201,104/164,874
  6. Step 6: Final answer
    x = 765,870.91

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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.