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Finding the Third Proportional to 229,042 and 342,510

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Solution

The third proportional to 229,042 and 342,510 is: 512,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,042 : 342,510 = 342,510 : x
  2. Step 2: Convert to fraction form
    229,042/342,510 = 342,510/x
  3. Step 3: Cross multiply
    229,042x = 342,510 × 342,510
  4. Step 4: Simplify right side
    229,042x = 117,313,100,100
  5. Step 5: Solve for x
    x = 117,313,100,100/229,042
  6. Step 6: Final answer
    x = 512,190.34

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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.