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Finding the Third Proportional to 172,259 and 365,368

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Solution

The third proportional to 172,259 and 365,368 is: 774,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,259 : 365,368 = 365,368 : x
  2. Step 2: Convert to fraction form
    172,259/365,368 = 365,368/x
  3. Step 3: Cross multiply
    172,259x = 365,368 × 365,368
  4. Step 4: Simplify right side
    172,259x = 133,493,775,424
  5. Step 5: Solve for x
    x = 133,493,775,424/172,259
  6. Step 6: Final answer
    x = 774,959.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.