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Finding the Third Proportional to 151,440.47 and 330,385.22

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Solution

The third proportional to 151,440.47 and 330,385.22 is: 720,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,440.47 : 330,385.22 = 330,385.22 : x
  2. Step 2: Convert to fraction form
    151,440.47/330,385.22 = 330,385.22/x
  3. Step 3: Cross multiply
    151,440.47x = 330,385.22 × 330,385.22
  4. Step 4: Simplify right side
    151,440.47x = 109,154,392,768.49
  5. Step 5: Solve for x
    x = 109,154,392,768.49/151,440.47
  6. Step 6: Final answer
    x = 720,774.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.