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Finding the Third Proportional to 143,905.50 and 308,955

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Solution

The third proportional to 143,905.50 and 308,955 is: 663,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,905.50 : 308,955 = 308,955 : x
  2. Step 2: Convert to fraction form
    143,905.50/308,955 = 308,955/x
  3. Step 3: Cross multiply
    143,905.50x = 308,955 × 308,955
  4. Step 4: Simplify right side
    143,905.50x = 95,453,192,025
  5. Step 5: Solve for x
    x = 95,453,192,025/143,905.50
  6. Step 6: Final answer
    x = 663,304.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.