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Finding the Third Proportional to 144,562 and 347,834

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Solution

The third proportional to 144,562 and 347,834 is: 836,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,562 : 347,834 = 347,834 : x
  2. Step 2: Convert to fraction form
    144,562/347,834 = 347,834/x
  3. Step 3: Cross multiply
    144,562x = 347,834 × 347,834
  4. Step 4: Simplify right side
    144,562x = 120,988,491,556
  5. Step 5: Solve for x
    x = 120,988,491,556/144,562
  6. Step 6: Final answer
    x = 836,931.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.