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Finding the Third Proportional to 137,062 and 300,368

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Solution

The third proportional to 137,062 and 300,368 is: 658,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,062 : 300,368 = 300,368 : x
  2. Step 2: Convert to fraction form
    137,062/300,368 = 300,368/x
  3. Step 3: Cross multiply
    137,062x = 300,368 × 300,368
  4. Step 4: Simplify right side
    137,062x = 90,220,935,424
  5. Step 5: Solve for x
    x = 90,220,935,424/137,062
  6. Step 6: Final answer
    x = 658,249.08

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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.