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Finding the Third Proportional to 150,116.25 and 329,756.63

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Solution

The third proportional to 150,116.25 and 329,756.63 is: 724,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,116.25 : 329,756.63 = 329,756.63 : x
  2. Step 2: Convert to fraction form
    150,116.25/329,756.63 = 329,756.63/x
  3. Step 3: Cross multiply
    150,116.25x = 329,756.63 × 329,756.63
  4. Step 4: Simplify right side
    150,116.25x = 108,739,431,731.39
  5. Step 5: Solve for x
    x = 108,739,431,731.39/150,116.25
  6. Step 6: Final answer
    x = 724,368.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.