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Finding the Third Proportional to 137,444 and 291,736

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Solution

The third proportional to 137,444 and 291,736 is: 619,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,444 : 291,736 = 291,736 : x
  2. Step 2: Convert to fraction form
    137,444/291,736 = 291,736/x
  3. Step 3: Cross multiply
    137,444x = 291,736 × 291,736
  4. Step 4: Simplify right side
    137,444x = 85,109,893,696
  5. Step 5: Solve for x
    x = 85,109,893,696/137,444
  6. Step 6: Final answer
    x = 619,233.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.