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Finding the Third Proportional to 137,974 and 302,444

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Solution

The third proportional to 137,974 and 302,444 is: 662,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,974 : 302,444 = 302,444 : x
  2. Step 2: Convert to fraction form
    137,974/302,444 = 302,444/x
  3. Step 3: Cross multiply
    137,974x = 302,444 × 302,444
  4. Step 4: Simplify right side
    137,974x = 91,472,373,136
  5. Step 5: Solve for x
    x = 91,472,373,136/137,974
  6. Step 6: Final answer
    x = 662,968.19

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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.