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Finding the Third Proportional to 161,989.88 and 353,048.63

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Solution

The third proportional to 161,989.88 and 353,048.63 is: 769,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,989.88 : 353,048.63 = 353,048.63 : x
  2. Step 2: Convert to fraction form
    161,989.88/353,048.63 = 353,048.63/x
  3. Step 3: Cross multiply
    161,989.88x = 353,048.63 × 353,048.63
  4. Step 4: Simplify right side
    161,989.88x = 124,643,331,614.39
  5. Step 5: Solve for x
    x = 124,643,331,614.39/161,989.88
  6. Step 6: Final answer
    x = 769,451.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.