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Finding the Third Proportional to 153,980.25 and 329,240.44

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Solution

The third proportional to 153,980.25 and 329,240.44 is: 703,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,980.25 : 329,240.44 = 329,240.44 : x
  2. Step 2: Convert to fraction form
    153,980.25/329,240.44 = 329,240.44/x
  3. Step 3: Cross multiply
    153,980.25x = 329,240.44 × 329,240.44
  4. Step 4: Simplify right side
    153,980.25x = 108,399,265,685.19
  5. Step 5: Solve for x
    x = 108,399,265,685.19/153,980.25
  6. Step 6: Final answer
    x = 703,981.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.