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Finding the Third Proportional to 229,343.50 and 518,145.44

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Solution

The third proportional to 229,343.50 and 518,145.44 is: 1,170,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,343.50 : 518,145.44 = 518,145.44 : x
  2. Step 2: Convert to fraction form
    229,343.50/518,145.44 = 518,145.44/x
  3. Step 3: Cross multiply
    229,343.50x = 518,145.44 × 518,145.44
  4. Step 4: Simplify right side
    229,343.50x = 268,474,694,402.07
  5. Step 5: Solve for x
    x = 268,474,694,402.07/229,343.50
  6. Step 6: Final answer
    x = 1,170,622.64

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.