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Finding the Third Proportional to 189,851 and 417,598

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Solution

The third proportional to 189,851 and 417,598 is: 918,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,851 : 417,598 = 417,598 : x
  2. Step 2: Convert to fraction form
    189,851/417,598 = 417,598/x
  3. Step 3: Cross multiply
    189,851x = 417,598 × 417,598
  4. Step 4: Simplify right side
    189,851x = 174,388,089,604
  5. Step 5: Solve for x
    x = 174,388,089,604/189,851
  6. Step 6: Final answer
    x = 918,552.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.