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Finding the Third Proportional to 137,272 and 300,788

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Solution

The third proportional to 137,272 and 300,788 is: 659,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,272 : 300,788 = 300,788 : x
  2. Step 2: Convert to fraction form
    137,272/300,788 = 300,788/x
  3. Step 3: Cross multiply
    137,272x = 300,788 × 300,788
  4. Step 4: Simplify right side
    137,272x = 90,473,420,944
  5. Step 5: Solve for x
    x = 90,473,420,944/137,272
  6. Step 6: Final answer
    x = 659,081.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.