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Finding the Third Proportional to 179,502 and 281,609

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Solution

The third proportional to 179,502 and 281,609 is: 441,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,502 : 281,609 = 281,609 : x
  2. Step 2: Convert to fraction form
    179,502/281,609 = 281,609/x
  3. Step 3: Cross multiply
    179,502x = 281,609 × 281,609
  4. Step 4: Simplify right side
    179,502x = 79,303,628,881
  5. Step 5: Solve for x
    x = 79,303,628,881/179,502
  6. Step 6: Final answer
    x = 441,798.02

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