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Finding the Third Proportional to 169,097 and 372,013

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Solution

The third proportional to 169,097 and 372,013 is: 818,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,097 : 372,013 = 372,013 : x
  2. Step 2: Convert to fraction form
    169,097/372,013 = 372,013/x
  3. Step 3: Cross multiply
    169,097x = 372,013 × 372,013
  4. Step 4: Simplify right side
    169,097x = 138,393,672,169
  5. Step 5: Solve for x
    x = 138,393,672,169/169,097
  6. Step 6: Final answer
    x = 818,427.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.