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Finding the Third Proportional to 179,491 and 277,894

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Solution

The third proportional to 179,491 and 277,894 is: 430,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,491 : 277,894 = 277,894 : x
  2. Step 2: Convert to fraction form
    179,491/277,894 = 277,894/x
  3. Step 3: Cross multiply
    179,491x = 277,894 × 277,894
  4. Step 4: Simplify right side
    179,491x = 77,225,075,236
  5. Step 5: Solve for x
    x = 77,225,075,236/179,491
  6. Step 6: Final answer
    x = 430,244.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.