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Finding the Third Proportional to 256,392 and 342,828

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Solution

The third proportional to 256,392 and 342,828 is: 458,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,392 : 342,828 = 342,828 : x
  2. Step 2: Convert to fraction form
    256,392/342,828 = 342,828/x
  3. Step 3: Cross multiply
    256,392x = 342,828 × 342,828
  4. Step 4: Simplify right side
    256,392x = 117,531,037,584
  5. Step 5: Solve for x
    x = 117,531,037,584/256,392
  6. Step 6: Final answer
    x = 458,403.68

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.