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Finding the Third Proportional to 181,401.50 and 374,447

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Solution

The third proportional to 181,401.50 and 374,447 is: 772,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,401.50 : 374,447 = 374,447 : x
  2. Step 2: Convert to fraction form
    181,401.50/374,447 = 374,447/x
  3. Step 3: Cross multiply
    181,401.50x = 374,447 × 374,447
  4. Step 4: Simplify right side
    181,401.50x = 140,210,555,809
  5. Step 5: Solve for x
    x = 140,210,555,809/181,401.50
  6. Step 6: Final answer
    x = 772,929.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.