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Finding the Third Proportional to 164,283 and 353,103

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Solution

The third proportional to 164,283 and 353,103 is: 758,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,283 : 353,103 = 353,103 : x
  2. Step 2: Convert to fraction form
    164,283/353,103 = 353,103/x
  3. Step 3: Cross multiply
    164,283x = 353,103 × 353,103
  4. Step 4: Simplify right side
    164,283x = 124,681,728,609
  5. Step 5: Solve for x
    x = 124,681,728,609/164,283
  6. Step 6: Final answer
    x = 758,944.80

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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.