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Finding the Third Proportional to 256,062 and 368,866.50

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Solution

The third proportional to 256,062 and 368,866.50 is: 531,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,062 : 368,866.50 = 368,866.50 : x
  2. Step 2: Convert to fraction form
    256,062/368,866.50 = 368,866.50/x
  3. Step 3: Cross multiply
    256,062x = 368,866.50 × 368,866.50
  4. Step 4: Simplify right side
    256,062x = 136,062,494,822.25
  5. Step 5: Solve for x
    x = 136,062,494,822.25/256,062
  6. Step 6: Final answer
    x = 531,365.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.