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Finding the Third Proportional to 130,174.50 and 263,967

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Solution

The third proportional to 130,174.50 and 263,967 is: 535,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,174.50 : 263,967 = 263,967 : x
  2. Step 2: Convert to fraction form
    130,174.50/263,967 = 263,967/x
  3. Step 3: Cross multiply
    130,174.50x = 263,967 × 263,967
  4. Step 4: Simplify right side
    130,174.50x = 69,678,577,089
  5. Step 5: Solve for x
    x = 69,678,577,089/130,174.50
  6. Step 6: Final answer
    x = 535,270.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.