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Finding the Third Proportional to 179,169 and 258,996

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Solution

The third proportional to 179,169 and 258,996 is: 374,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,169 : 258,996 = 258,996 : x
  2. Step 2: Convert to fraction form
    179,169/258,996 = 258,996/x
  3. Step 3: Cross multiply
    179,169x = 258,996 × 258,996
  4. Step 4: Simplify right side
    179,169x = 67,078,928,016
  5. Step 5: Solve for x
    x = 67,078,928,016/179,169
  6. Step 6: Final answer
    x = 374,389.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.