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Finding the Third Proportional to 144,003 and 308,826

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Solution

The third proportional to 144,003 and 308,826 is: 662,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,003 : 308,826 = 308,826 : x
  2. Step 2: Convert to fraction form
    144,003/308,826 = 308,826/x
  3. Step 3: Cross multiply
    144,003x = 308,826 × 308,826
  4. Step 4: Simplify right side
    144,003x = 95,373,498,276
  5. Step 5: Solve for x
    x = 95,373,498,276/144,003
  6. Step 6: Final answer
    x = 662,302.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.