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Finding the Third Proportional to 250,993.50 and 377,041.50

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Solution

The third proportional to 250,993.50 and 377,041.50 is: 566,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,993.50 : 377,041.50 = 377,041.50 : x
  2. Step 2: Convert to fraction form
    250,993.50/377,041.50 = 377,041.50/x
  3. Step 3: Cross multiply
    250,993.50x = 377,041.50 × 377,041.50
  4. Step 4: Simplify right side
    250,993.50x = 142,160,292,722.25
  5. Step 5: Solve for x
    x = 142,160,292,722.25/250,993.50
  6. Step 6: Final answer
    x = 566,390.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.