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Finding the Third Proportional to 115,004.50 and 247,505

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Solution

The third proportional to 115,004.50 and 247,505 is: 532,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,004.50 : 247,505 = 247,505 : x
  2. Step 2: Convert to fraction form
    115,004.50/247,505 = 247,505/x
  3. Step 3: Cross multiply
    115,004.50x = 247,505 × 247,505
  4. Step 4: Simplify right side
    115,004.50x = 61,258,725,025
  5. Step 5: Solve for x
    x = 61,258,725,025/115,004.50
  6. Step 6: Final answer
    x = 532,663.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.