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Finding the Third Proportional to 73,244.81 and 156,857.63

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Solution

The third proportional to 73,244.81 and 156,857.63 is: 335,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,244.81 : 156,857.63 = 156,857.63 : x
  2. Step 2: Convert to fraction form
    73,244.81/156,857.63 = 156,857.63/x
  3. Step 3: Cross multiply
    73,244.81x = 156,857.63 × 156,857.63
  4. Step 4: Simplify right side
    73,244.81x = 24,604,314,520.64
  5. Step 5: Solve for x
    x = 24,604,314,520.64/73,244.81
  6. Step 6: Final answer
    x = 335,918.87

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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.