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Finding the Third Proportional to 164,849 and 353,026

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Solution

The third proportional to 164,849 and 353,026 is: 756,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,849 : 353,026 = 353,026 : x
  2. Step 2: Convert to fraction form
    164,849/353,026 = 353,026/x
  3. Step 3: Cross multiply
    164,849x = 353,026 × 353,026
  4. Step 4: Simplify right side
    164,849x = 124,627,356,676
  5. Step 5: Solve for x
    x = 124,627,356,676/164,849
  6. Step 6: Final answer
    x = 756,009.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.