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Finding the Third Proportional to 146,988.75 and 322,002.75

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Solution

The third proportional to 146,988.75 and 322,002.75 is: 705,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,988.75 : 322,002.75 = 322,002.75 : x
  2. Step 2: Convert to fraction form
    146,988.75/322,002.75 = 322,002.75/x
  3. Step 3: Cross multiply
    146,988.75x = 322,002.75 × 322,002.75
  4. Step 4: Simplify right side
    146,988.75x = 103,685,771,007.56
  5. Step 5: Solve for x
    x = 103,685,771,007.56/146,988.75
  6. Step 6: Final answer
    x = 705,399.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.