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Finding the Third Proportional to 144,909 and 213,167.25

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Solution

The third proportional to 144,909 and 213,167.25 is: 313,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,909 : 213,167.25 = 213,167.25 : x
  2. Step 2: Convert to fraction form
    144,909/213,167.25 = 213,167.25/x
  3. Step 3: Cross multiply
    144,909x = 213,167.25 × 213,167.25
  4. Step 4: Simplify right side
    144,909x = 45,440,276,472.56
  5. Step 5: Solve for x
    x = 45,440,276,472.56/144,909
  6. Step 6: Final answer
    x = 313,578.01

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