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Finding the Third Proportional to 245,882 and 367,249

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Solution

The third proportional to 245,882 and 367,249 is: 548,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,882 : 367,249 = 367,249 : x
  2. Step 2: Convert to fraction form
    245,882/367,249 = 367,249/x
  3. Step 3: Cross multiply
    245,882x = 367,249 × 367,249
  4. Step 4: Simplify right side
    245,882x = 134,871,828,001
  5. Step 5: Solve for x
    x = 134,871,828,001/245,882
  6. Step 6: Final answer
    x = 548,522.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.