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Finding the Third Proportional to 208,227 and 314,904

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Solution

The third proportional to 208,227 and 314,904 is: 476,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,227 : 314,904 = 314,904 : x
  2. Step 2: Convert to fraction form
    208,227/314,904 = 314,904/x
  3. Step 3: Cross multiply
    208,227x = 314,904 × 314,904
  4. Step 4: Simplify right side
    208,227x = 99,164,529,216
  5. Step 5: Solve for x
    x = 99,164,529,216/208,227
  6. Step 6: Final answer
    x = 476,232.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.