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Finding the Third Proportional to 125,784 and 274,896

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Solution

The third proportional to 125,784 and 274,896 is: 600,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,784 : 274,896 = 274,896 : x
  2. Step 2: Convert to fraction form
    125,784/274,896 = 274,896/x
  3. Step 3: Cross multiply
    125,784x = 274,896 × 274,896
  4. Step 4: Simplify right side
    125,784x = 75,567,810,816
  5. Step 5: Solve for x
    x = 75,567,810,816/125,784
  6. Step 6: Final answer
    x = 600,774.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.