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Finding the Third Proportional to 212,857.88 and 320,184.56

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Solution

The third proportional to 212,857.88 and 320,184.56 is: 481,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,857.88 : 320,184.56 = 320,184.56 : x
  2. Step 2: Convert to fraction form
    212,857.88/320,184.56 = 320,184.56/x
  3. Step 3: Cross multiply
    212,857.88x = 320,184.56 × 320,184.56
  4. Step 4: Simplify right side
    212,857.88x = 102,518,154,063.32
  5. Step 5: Solve for x
    x = 102,518,154,063.32/212,857.88
  6. Step 6: Final answer
    x = 481,627.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.