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Finding the Third Proportional to 156,542.63 and 335,220.19

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Solution

The third proportional to 156,542.63 and 335,220.19 is: 717,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,542.63 : 335,220.19 = 335,220.19 : x
  2. Step 2: Convert to fraction form
    156,542.63/335,220.19 = 335,220.19/x
  3. Step 3: Cross multiply
    156,542.63x = 335,220.19 × 335,220.19
  4. Step 4: Simplify right side
    156,542.63x = 112,372,574,107.54
  5. Step 5: Solve for x
    x = 112,372,574,107.54/156,542.63
  6. Step 6: Final answer
    x = 717,840.10

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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.