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Finding the Third Proportional to 234,013.50 and 384,392.25

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Solution

The third proportional to 234,013.50 and 384,392.25 is: 631,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,013.50 : 384,392.25 = 384,392.25 : x
  2. Step 2: Convert to fraction form
    234,013.50/384,392.25 = 384,392.25/x
  3. Step 3: Cross multiply
    234,013.50x = 384,392.25 × 384,392.25
  4. Step 4: Simplify right side
    234,013.50x = 147,757,401,860.06
  5. Step 5: Solve for x
    x = 147,757,401,860.06/234,013.50
  6. Step 6: Final answer
    x = 631,405.46

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.