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Finding the Third Proportional to 144,009 and 297,211.50

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Solution

The third proportional to 144,009 and 297,211.50 is: 613,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,009 : 297,211.50 = 297,211.50 : x
  2. Step 2: Convert to fraction form
    144,009/297,211.50 = 297,211.50/x
  3. Step 3: Cross multiply
    144,009x = 297,211.50 × 297,211.50
  4. Step 4: Simplify right side
    144,009x = 88,334,675,732.25
  5. Step 5: Solve for x
    x = 88,334,675,732.25/144,009
  6. Step 6: Final answer
    x = 613,396.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.