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Finding the Third Proportional to 137,276 and 300,796

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Solution

The third proportional to 137,276 and 300,796 is: 659,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,276 : 300,796 = 300,796 : x
  2. Step 2: Convert to fraction form
    137,276/300,796 = 300,796/x
  3. Step 3: Cross multiply
    137,276x = 300,796 × 300,796
  4. Step 4: Simplify right side
    137,276x = 90,478,233,616
  5. Step 5: Solve for x
    x = 90,478,233,616/137,276
  6. Step 6: Final answer
    x = 659,097.25

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Why These Related Problems?

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