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Finding the Third Proportional to 164,210 and 353,743

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Solution

The third proportional to 164,210 and 353,743 is: 762,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,210 : 353,743 = 353,743 : x
  2. Step 2: Convert to fraction form
    164,210/353,743 = 353,743/x
  3. Step 3: Cross multiply
    164,210x = 353,743 × 353,743
  4. Step 4: Simplify right side
    164,210x = 125,134,110,049
  5. Step 5: Solve for x
    x = 125,134,110,049/164,210
  6. Step 6: Final answer
    x = 762,037.09

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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.