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Finding the Third Proportional to 244,642 and 344,508

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Solution

The third proportional to 244,642 and 344,508 is: 485,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,642 : 344,508 = 344,508 : x
  2. Step 2: Convert to fraction form
    244,642/344,508 = 344,508/x
  3. Step 3: Cross multiply
    244,642x = 344,508 × 344,508
  4. Step 4: Simplify right side
    244,642x = 118,685,762,064
  5. Step 5: Solve for x
    x = 118,685,762,064/244,642
  6. Step 6: Final answer
    x = 485,140.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.