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Finding the Third Proportional to 227,650.50 and 377,500.50

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Solution

The third proportional to 227,650.50 and 377,500.50 is: 625,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,650.50 : 377,500.50 = 377,500.50 : x
  2. Step 2: Convert to fraction form
    227,650.50/377,500.50 = 377,500.50/x
  3. Step 3: Cross multiply
    227,650.50x = 377,500.50 × 377,500.50
  4. Step 4: Simplify right side
    227,650.50x = 142,506,627,500.25
  5. Step 5: Solve for x
    x = 142,506,627,500.25/227,650.50
  6. Step 6: Final answer
    x = 625,988.64

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.