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Finding the Third Proportional to 145,663.50 and 325,224.75

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Solution

The third proportional to 145,663.50 and 325,224.75 is: 726,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,663.50 : 325,224.75 = 325,224.75 : x
  2. Step 2: Convert to fraction form
    145,663.50/325,224.75 = 325,224.75/x
  3. Step 3: Cross multiply
    145,663.50x = 325,224.75 × 325,224.75
  4. Step 4: Simplify right side
    145,663.50x = 105,771,138,012.56
  5. Step 5: Solve for x
    x = 105,771,138,012.56/145,663.50
  6. Step 6: Final answer
    x = 726,133.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.