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Finding the Third Proportional to 208,225 and 314,901

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Solution

The third proportional to 208,225 and 314,901 is: 476,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,225 : 314,901 = 314,901 : x
  2. Step 2: Convert to fraction form
    208,225/314,901 = 314,901/x
  3. Step 3: Cross multiply
    208,225x = 314,901 × 314,901
  4. Step 4: Simplify right side
    208,225x = 99,162,639,801
  5. Step 5: Solve for x
    x = 99,162,639,801/208,225
  6. Step 6: Final answer
    x = 476,228.31

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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.