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Finding the Third Proportional to 179,202 and 259,047

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Solution

The third proportional to 179,202 and 259,047 is: 374,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,202 : 259,047 = 259,047 : x
  2. Step 2: Convert to fraction form
    179,202/259,047 = 259,047/x
  3. Step 3: Cross multiply
    179,202x = 259,047 × 259,047
  4. Step 4: Simplify right side
    179,202x = 67,105,348,209
  5. Step 5: Solve for x
    x = 67,105,348,209/179,202
  6. Step 6: Final answer
    x = 374,467.63

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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.