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Finding the Third Proportional to 256,012 and 344,640

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Solution

The third proportional to 256,012 and 344,640 is: 463,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,012 : 344,640 = 344,640 : x
  2. Step 2: Convert to fraction form
    256,012/344,640 = 344,640/x
  3. Step 3: Cross multiply
    256,012x = 344,640 × 344,640
  4. Step 4: Simplify right side
    256,012x = 118,776,729,600
  5. Step 5: Solve for x
    x = 118,776,729,600/256,012
  6. Step 6: Final answer
    x = 463,949.85

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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.