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Finding the Third Proportional to 164,063 and 341,221

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Solution

The third proportional to 164,063 and 341,221 is: 709,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,063 : 341,221 = 341,221 : x
  2. Step 2: Convert to fraction form
    164,063/341,221 = 341,221/x
  3. Step 3: Cross multiply
    164,063x = 341,221 × 341,221
  4. Step 4: Simplify right side
    164,063x = 116,431,770,841
  5. Step 5: Solve for x
    x = 116,431,770,841/164,063
  6. Step 6: Final answer
    x = 709,677.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.