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Finding the Third Proportional to 171,382 and 370,508

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Solution

The third proportional to 171,382 and 370,508 is: 800,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,382 : 370,508 = 370,508 : x
  2. Step 2: Convert to fraction form
    171,382/370,508 = 370,508/x
  3. Step 3: Cross multiply
    171,382x = 370,508 × 370,508
  4. Step 4: Simplify right side
    171,382x = 137,276,178,064
  5. Step 5: Solve for x
    x = 137,276,178,064/171,382
  6. Step 6: Final answer
    x = 800,995.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.