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Finding the Third Proportional to 229,048 and 342,519

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Solution

The third proportional to 229,048 and 342,519 is: 512,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,048 : 342,519 = 342,519 : x
  2. Step 2: Convert to fraction form
    229,048/342,519 = 342,519/x
  3. Step 3: Cross multiply
    229,048x = 342,519 × 342,519
  4. Step 4: Simplify right side
    229,048x = 117,319,265,361
  5. Step 5: Solve for x
    x = 117,319,265,361/229,048
  6. Step 6: Final answer
    x = 512,203.84

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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.