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Finding the Third Proportional to 241,082 and 387,138

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Solution

The third proportional to 241,082 and 387,138 is: 621,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,082 : 387,138 = 387,138 : x
  2. Step 2: Convert to fraction form
    241,082/387,138 = 387,138/x
  3. Step 3: Cross multiply
    241,082x = 387,138 × 387,138
  4. Step 4: Simplify right side
    241,082x = 149,875,831,044
  5. Step 5: Solve for x
    x = 149,875,831,044/241,082
  6. Step 6: Final answer
    x = 621,679.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.