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Finding the Third Proportional to 164,466 and 354,309

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Solution

The third proportional to 164,466 and 354,309 is: 763,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,466 : 354,309 = 354,309 : x
  2. Step 2: Convert to fraction form
    164,466/354,309 = 354,309/x
  3. Step 3: Cross multiply
    164,466x = 354,309 × 354,309
  4. Step 4: Simplify right side
    164,466x = 125,534,867,481
  5. Step 5: Solve for x
    x = 125,534,867,481/164,466
  6. Step 6: Final answer
    x = 763,287.66

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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.