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Finding the Third Proportional to 131,796 and 204,228

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Solution

The third proportional to 131,796 and 204,228 is: 316,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,796 : 204,228 = 204,228 : x
  2. Step 2: Convert to fraction form
    131,796/204,228 = 204,228/x
  3. Step 3: Cross multiply
    131,796x = 204,228 × 204,228
  4. Step 4: Simplify right side
    131,796x = 41,709,075,984
  5. Step 5: Solve for x
    x = 41,709,075,984/131,796
  6. Step 6: Final answer
    x = 316,466.93

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