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Finding the Third Proportional to 256,271.25 and 394,440

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Solution

The third proportional to 256,271.25 and 394,440 is: 607,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,271.25 : 394,440 = 394,440 : x
  2. Step 2: Convert to fraction form
    256,271.25/394,440 = 394,440/x
  3. Step 3: Cross multiply
    256,271.25x = 394,440 × 394,440
  4. Step 4: Simplify right side
    256,271.25x = 155,582,913,600
  5. Step 5: Solve for x
    x = 155,582,913,600/256,271.25
  6. Step 6: Final answer
    x = 607,102.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.