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Finding the Third Proportional to 131,807 and 204,265

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Solution

The third proportional to 131,807 and 204,265 is: 316,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,807 : 204,265 = 204,265 : x
  2. Step 2: Convert to fraction form
    131,807/204,265 = 204,265/x
  3. Step 3: Cross multiply
    131,807x = 204,265 × 204,265
  4. Step 4: Simplify right side
    131,807x = 41,724,190,225
  5. Step 5: Solve for x
    x = 41,724,190,225/131,807
  6. Step 6: Final answer
    x = 316,555.19

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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.