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Finding the Third Proportional to 164,849 and 295,663

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Solution

The third proportional to 164,849 and 295,663 is: 530,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,849 : 295,663 = 295,663 : x
  2. Step 2: Convert to fraction form
    164,849/295,663 = 295,663/x
  3. Step 3: Cross multiply
    164,849x = 295,663 × 295,663
  4. Step 4: Simplify right side
    164,849x = 87,416,609,569
  5. Step 5: Solve for x
    x = 87,416,609,569/164,849
  6. Step 6: Final answer
    x = 530,282.92

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.