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Finding the Third Proportional to 144,936 and 213,202.13

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Solution

The third proportional to 144,936 and 213,202.13 is: 313,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,936 : 213,202.13 = 213,202.13 : x
  2. Step 2: Convert to fraction form
    144,936/213,202.13 = 213,202.13/x
  3. Step 3: Cross multiply
    144,936x = 213,202.13 × 213,202.13
  4. Step 4: Simplify right side
    144,936x = 45,455,146,104.52
  5. Step 5: Solve for x
    x = 45,455,146,104.52/144,936
  6. Step 6: Final answer
    x = 313,622.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.