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Finding the Third Proportional to 253,696 and 541,169

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Solution

The third proportional to 253,696 and 541,169 is: 1,154,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,696 : 541,169 = 541,169 : x
  2. Step 2: Convert to fraction form
    253,696/541,169 = 541,169/x
  3. Step 3: Cross multiply
    253,696x = 541,169 × 541,169
  4. Step 4: Simplify right side
    253,696x = 292,863,886,561
  5. Step 5: Solve for x
    x = 292,863,886,561/253,696
  6. Step 6: Final answer
    x = 1,154,389.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.