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Finding the Third Proportional to 237,112.95 and 361,578.30

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Solution

The third proportional to 237,112.95 and 361,578.30 is: 551,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,112.95 : 361,578.30 = 361,578.30 : x
  2. Step 2: Convert to fraction form
    237,112.95/361,578.30 = 361,578.30/x
  3. Step 3: Cross multiply
    237,112.95x = 361,578.30 × 361,578.30
  4. Step 4: Simplify right side
    237,112.95x = 130,738,870,420.69
  5. Step 5: Solve for x
    x = 130,738,870,420.69/237,112.95
  6. Step 6: Final answer
    x = 551,378.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.