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Finding the Third Proportional to 250,048.13 and 540,078.75

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Solution

The third proportional to 250,048.13 and 540,078.75 is: 1,166,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,048.13 : 540,078.75 = 540,078.75 : x
  2. Step 2: Convert to fraction form
    250,048.13/540,078.75 = 540,078.75/x
  3. Step 3: Cross multiply
    250,048.13x = 540,078.75 × 540,078.75
  4. Step 4: Simplify right side
    250,048.13x = 291,685,056,201.56
  5. Step 5: Solve for x
    x = 291,685,056,201.56/250,048.13
  6. Step 6: Final answer
    x = 1,166,515.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.