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Finding the Third Proportional to 108,004.75 and 235,661.50

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Solution

The third proportional to 108,004.75 and 235,661.50 is: 514,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,004.75 : 235,661.50 = 235,661.50 : x
  2. Step 2: Convert to fraction form
    108,004.75/235,661.50 = 235,661.50/x
  3. Step 3: Cross multiply
    108,004.75x = 235,661.50 × 235,661.50
  4. Step 4: Simplify right side
    108,004.75x = 55,536,342,582.25
  5. Step 5: Solve for x
    x = 55,536,342,582.25/108,004.75
  6. Step 6: Final answer
    x = 514,202.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.