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Finding the Third Proportional to 172,562 and 370,739

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Solution

The third proportional to 172,562 and 370,739 is: 796,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,562 : 370,739 = 370,739 : x
  2. Step 2: Convert to fraction form
    172,562/370,739 = 370,739/x
  3. Step 3: Cross multiply
    172,562x = 370,739 × 370,739
  4. Step 4: Simplify right side
    172,562x = 137,447,406,121
  5. Step 5: Solve for x
    x = 137,447,406,121/172,562
  6. Step 6: Final answer
    x = 796,510.28

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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.