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Finding the Third Proportional to 164,158 and 353,645

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Solution

The third proportional to 164,158 and 353,645 is: 761,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,158 : 353,645 = 353,645 : x
  2. Step 2: Convert to fraction form
    164,158/353,645 = 353,645/x
  3. Step 3: Cross multiply
    164,158x = 353,645 × 353,645
  4. Step 4: Simplify right side
    164,158x = 125,064,786,025
  5. Step 5: Solve for x
    x = 125,064,786,025/164,158
  6. Step 6: Final answer
    x = 761,856.18

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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.