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Finding the Third Proportional to 148,967 and 304,495

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Solution

The third proportional to 148,967 and 304,495 is: 622,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,967 : 304,495 = 304,495 : x
  2. Step 2: Convert to fraction form
    148,967/304,495 = 304,495/x
  3. Step 3: Cross multiply
    148,967x = 304,495 × 304,495
  4. Step 4: Simplify right side
    148,967x = 92,717,205,025
  5. Step 5: Solve for x
    x = 92,717,205,025/148,967
  6. Step 6: Final answer
    x = 622,400.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.