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Finding the Third Proportional to 172,557.65 and 370,731.03

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Solution

The third proportional to 172,557.65 and 370,731.03 is: 796,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,557.65 : 370,731.03 = 370,731.03 : x
  2. Step 2: Convert to fraction form
    172,557.65/370,731.03 = 370,731.03/x
  3. Step 3: Cross multiply
    172,557.65x = 370,731.03 × 370,731.03
  4. Step 4: Simplify right side
    172,557.65x = 137,441,494,997.39
  5. Step 5: Solve for x
    x = 137,441,494,997.39/172,557.65
  6. Step 6: Final answer
    x = 796,496.12

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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.