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Finding the Third Proportional to 208,368 and 322,848

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Solution

The third proportional to 208,368 and 322,848 is: 500,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,368 : 322,848 = 322,848 : x
  2. Step 2: Convert to fraction form
    208,368/322,848 = 322,848/x
  3. Step 3: Cross multiply
    208,368x = 322,848 × 322,848
  4. Step 4: Simplify right side
    208,368x = 104,230,831,104
  5. Step 5: Solve for x
    x = 104,230,831,104/208,368
  6. Step 6: Final answer
    x = 500,224.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.