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Finding the Third Proportional to 156,074 and 335,820

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Solution

The third proportional to 156,074 and 335,820 is: 722,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,074 : 335,820 = 335,820 : x
  2. Step 2: Convert to fraction form
    156,074/335,820 = 335,820/x
  3. Step 3: Cross multiply
    156,074x = 335,820 × 335,820
  4. Step 4: Simplify right side
    156,074x = 112,775,072,400
  5. Step 5: Solve for x
    x = 112,775,072,400/156,074
  6. Step 6: Final answer
    x = 722,574.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.