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Finding the Third Proportional to 227,046 and 340,569

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Solution

The third proportional to 227,046 and 340,569 is: 510,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,046 : 340,569 = 340,569 : x
  2. Step 2: Convert to fraction form
    227,046/340,569 = 340,569/x
  3. Step 3: Cross multiply
    227,046x = 340,569 × 340,569
  4. Step 4: Simplify right side
    227,046x = 115,987,243,761
  5. Step 5: Solve for x
    x = 115,987,243,761/227,046
  6. Step 6: Final answer
    x = 510,853.50

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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.