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Finding the Third Proportional to 164,418 and 353,790

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Solution

The third proportional to 164,418 and 353,790 is: 761,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,418 : 353,790 = 353,790 : x
  2. Step 2: Convert to fraction form
    164,418/353,790 = 353,790/x
  3. Step 3: Cross multiply
    164,418x = 353,790 × 353,790
  4. Step 4: Simplify right side
    164,418x = 125,167,364,100
  5. Step 5: Solve for x
    x = 125,167,364,100/164,418
  6. Step 6: Final answer
    x = 761,275.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.