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Finding the Third Proportional to 136,833 and 204,700.50

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Solution

The third proportional to 136,833 and 204,700.50 is: 306,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,833 : 204,700.50 = 204,700.50 : x
  2. Step 2: Convert to fraction form
    136,833/204,700.50 = 204,700.50/x
  3. Step 3: Cross multiply
    136,833x = 204,700.50 × 204,700.50
  4. Step 4: Simplify right side
    136,833x = 41,902,294,700.25
  5. Step 5: Solve for x
    x = 41,902,294,700.25/136,833
  6. Step 6: Final answer
    x = 306,229.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.