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Finding the Third Proportional to 190,081 and 256,577

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Solution

The third proportional to 190,081 and 256,577 is: 346,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,081 : 256,577 = 256,577 : x
  2. Step 2: Convert to fraction form
    190,081/256,577 = 256,577/x
  3. Step 3: Cross multiply
    190,081x = 256,577 × 256,577
  4. Step 4: Simplify right side
    190,081x = 65,831,756,929
  5. Step 5: Solve for x
    x = 65,831,756,929/190,081
  6. Step 6: Final answer
    x = 346,335.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.