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Finding the Third Proportional to 144,420 and 347,898

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Solution

The third proportional to 144,420 and 347,898 is: 838,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,420 : 347,898 = 347,898 : x
  2. Step 2: Convert to fraction form
    144,420/347,898 = 347,898/x
  3. Step 3: Cross multiply
    144,420x = 347,898 × 347,898
  4. Step 4: Simplify right side
    144,420x = 121,033,018,404
  5. Step 5: Solve for x
    x = 121,033,018,404/144,420
  6. Step 6: Final answer
    x = 838,062.72

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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.