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Finding the Third Proportional to 144,744.47 and 299,353.22

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Solution

The third proportional to 144,744.47 and 299,353.22 is: 619,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,744.47 : 299,353.22 = 299,353.22 : x
  2. Step 2: Convert to fraction form
    144,744.47/299,353.22 = 299,353.22/x
  3. Step 3: Cross multiply
    144,744.47x = 299,353.22 × 299,353.22
  4. Step 4: Simplify right side
    144,744.47x = 89,612,349,575.99
  5. Step 5: Solve for x
    x = 89,612,349,575.99/144,744.47
  6. Step 6: Final answer
    x = 619,107.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.