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Finding the Third Proportional to 167,146 and 247,029

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Solution

The third proportional to 167,146 and 247,029 is: 365,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,146 : 247,029 = 247,029 : x
  2. Step 2: Convert to fraction form
    167,146/247,029 = 247,029/x
  3. Step 3: Cross multiply
    167,146x = 247,029 × 247,029
  4. Step 4: Simplify right side
    167,146x = 61,023,326,841
  5. Step 5: Solve for x
    x = 61,023,326,841/167,146
  6. Step 6: Final answer
    x = 365,089.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.