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Finding the Third Proportional to 130,186.50 and 270,738.50

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Solution

The third proportional to 130,186.50 and 270,738.50 is: 563,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,186.50 : 270,738.50 = 270,738.50 : x
  2. Step 2: Convert to fraction form
    130,186.50/270,738.50 = 270,738.50/x
  3. Step 3: Cross multiply
    130,186.50x = 270,738.50 × 270,738.50
  4. Step 4: Simplify right side
    130,186.50x = 73,299,335,382.25
  5. Step 5: Solve for x
    x = 73,299,335,382.25/130,186.50
  6. Step 6: Final answer
    x = 563,033.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.