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Finding the Third Proportional to 142,209 and 305,505

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Solution

The third proportional to 142,209 and 305,505 is: 656,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,209 : 305,505 = 305,505 : x
  2. Step 2: Convert to fraction form
    142,209/305,505 = 305,505/x
  3. Step 3: Cross multiply
    142,209x = 305,505 × 305,505
  4. Step 4: Simplify right side
    142,209x = 93,333,305,025
  5. Step 5: Solve for x
    x = 93,333,305,025/142,209
  6. Step 6: Final answer
    x = 656,310.82

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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.