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Finding the Third Proportional to 172,278 and 365,400

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Solution

The third proportional to 172,278 and 365,400 is: 775,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,278 : 365,400 = 365,400 : x
  2. Step 2: Convert to fraction form
    172,278/365,400 = 365,400/x
  3. Step 3: Cross multiply
    172,278x = 365,400 × 365,400
  4. Step 4: Simplify right side
    172,278x = 133,517,160,000
  5. Step 5: Solve for x
    x = 133,517,160,000/172,278
  6. Step 6: Final answer
    x = 775,009.93

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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.