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Finding the Third Proportional to 172,336 and 360,368

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Solution

The third proportional to 172,336 and 360,368 is: 753,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,336 : 360,368 = 360,368 : x
  2. Step 2: Convert to fraction form
    172,336/360,368 = 360,368/x
  3. Step 3: Cross multiply
    172,336x = 360,368 × 360,368
  4. Step 4: Simplify right side
    172,336x = 129,865,095,424
  5. Step 5: Solve for x
    x = 129,865,095,424/172,336
  6. Step 6: Final answer
    x = 753,557.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.