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Finding the Third Proportional to 123,469 and 190,333

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Solution

The third proportional to 123,469 and 190,333 is: 293,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,469 : 190,333 = 190,333 : x
  2. Step 2: Convert to fraction form
    123,469/190,333 = 190,333/x
  3. Step 3: Cross multiply
    123,469x = 190,333 × 190,333
  4. Step 4: Simplify right side
    123,469x = 36,226,650,889
  5. Step 5: Solve for x
    x = 36,226,650,889/123,469
  6. Step 6: Final answer
    x = 293,406.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.