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Finding the Third Proportional to 172,004.13 and 370,226.64

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Solution

The third proportional to 172,004.13 and 370,226.64 is: 796,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,004.13 : 370,226.64 = 370,226.64 : x
  2. Step 2: Convert to fraction form
    172,004.13/370,226.64 = 370,226.64/x
  3. Step 3: Cross multiply
    172,004.13x = 370,226.64 × 370,226.64
  4. Step 4: Simplify right side
    172,004.13x = 137,067,762,536.08
  5. Step 5: Solve for x
    x = 137,067,762,536.08/172,004.13
  6. Step 6: Final answer
    x = 796,886.45

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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.