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Finding the Third Proportional to 141,126 and 301,662

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Solution

The third proportional to 141,126 and 301,662 is: 644,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,126 : 301,662 = 301,662 : x
  2. Step 2: Convert to fraction form
    141,126/301,662 = 301,662/x
  3. Step 3: Cross multiply
    141,126x = 301,662 × 301,662
  4. Step 4: Simplify right side
    141,126x = 90,999,962,244
  5. Step 5: Solve for x
    x = 90,999,962,244/141,126
  6. Step 6: Final answer
    x = 644,813.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.