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Finding the Third Proportional to 127,219 and 197,832

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Solution

The third proportional to 127,219 and 197,832 is: 307,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,219 : 197,832 = 197,832 : x
  2. Step 2: Convert to fraction form
    127,219/197,832 = 197,832/x
  3. Step 3: Cross multiply
    127,219x = 197,832 × 197,832
  4. Step 4: Simplify right side
    127,219x = 39,137,500,224
  5. Step 5: Solve for x
    x = 39,137,500,224/127,219
  6. Step 6: Final answer
    x = 307,638.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.