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Finding the Third Proportional to 179,871.50 and 259,863

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Solution

The third proportional to 179,871.50 and 259,863 is: 375,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,871.50 : 259,863 = 259,863 : x
  2. Step 2: Convert to fraction form
    179,871.50/259,863 = 259,863/x
  3. Step 3: Cross multiply
    179,871.50x = 259,863 × 259,863
  4. Step 4: Simplify right side
    179,871.50x = 67,528,778,769
  5. Step 5: Solve for x
    x = 67,528,778,769/179,871.50
  6. Step 6: Final answer
    x = 375,427.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.