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Finding the Third Proportional to 258,237 and 377,082

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Solution

The third proportional to 258,237 and 377,082 is: 550,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,237 : 377,082 = 377,082 : x
  2. Step 2: Convert to fraction form
    258,237/377,082 = 377,082/x
  3. Step 3: Cross multiply
    258,237x = 377,082 × 377,082
  4. Step 4: Simplify right side
    258,237x = 142,190,834,724
  5. Step 5: Solve for x
    x = 142,190,834,724/258,237
  6. Step 6: Final answer
    x = 550,621.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.