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Finding the Third Proportional to 179,490 and 281,592

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Solution

The third proportional to 179,490 and 281,592 is: 441,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,490 : 281,592 = 281,592 : x
  2. Step 2: Convert to fraction form
    179,490/281,592 = 281,592/x
  3. Step 3: Cross multiply
    179,490x = 281,592 × 281,592
  4. Step 4: Simplify right side
    179,490x = 79,294,054,464
  5. Step 5: Solve for x
    x = 79,294,054,464/179,490
  6. Step 6: Final answer
    x = 441,774.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.