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Finding the Third Proportional to 141,997 and 301,522

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Solution

The third proportional to 141,997 and 301,522 is: 640,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,997 : 301,522 = 301,522 : x
  2. Step 2: Convert to fraction form
    141,997/301,522 = 301,522/x
  3. Step 3: Cross multiply
    141,997x = 301,522 × 301,522
  4. Step 4: Simplify right side
    141,997x = 90,915,516,484
  5. Step 5: Solve for x
    x = 90,915,516,484/141,997
  6. Step 6: Final answer
    x = 640,263.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.