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Finding the Third Proportional to 164,121 and 353,352

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Solution

The third proportional to 164,121 and 353,352 is: 760,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,121 : 353,352 = 353,352 : x
  2. Step 2: Convert to fraction form
    164,121/353,352 = 353,352/x
  3. Step 3: Cross multiply
    164,121x = 353,352 × 353,352
  4. Step 4: Simplify right side
    164,121x = 124,857,635,904
  5. Step 5: Solve for x
    x = 124,857,635,904/164,121
  6. Step 6: Final answer
    x = 760,765.75

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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.