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Finding the Third Proportional to 137,201 and 300,637

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Solution

The third proportional to 137,201 and 300,637 is: 658,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,201 : 300,637 = 300,637 : x
  2. Step 2: Convert to fraction form
    137,201/300,637 = 300,637/x
  3. Step 3: Cross multiply
    137,201x = 300,637 × 300,637
  4. Step 4: Simplify right side
    137,201x = 90,382,605,769
  5. Step 5: Solve for x
    x = 90,382,605,769/137,201
  6. Step 6: Final answer
    x = 658,760.55

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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.