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Finding the Third Proportional to 164,061 and 253,350

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Solution

The third proportional to 164,061 and 253,350 is: 391,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,061 : 253,350 = 253,350 : x
  2. Step 2: Convert to fraction form
    164,061/253,350 = 253,350/x
  3. Step 3: Cross multiply
    164,061x = 253,350 × 253,350
  4. Step 4: Simplify right side
    164,061x = 64,186,222,500
  5. Step 5: Solve for x
    x = 64,186,222,500/164,061
  6. Step 6: Final answer
    x = 391,233.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.