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Finding the Third Proportional to 256,506.75 and 366,261.75

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Solution

The third proportional to 256,506.75 and 366,261.75 is: 522,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,506.75 : 366,261.75 = 366,261.75 : x
  2. Step 2: Convert to fraction form
    256,506.75/366,261.75 = 366,261.75/x
  3. Step 3: Cross multiply
    256,506.75x = 366,261.75 × 366,261.75
  4. Step 4: Simplify right side
    256,506.75x = 134,147,669,513.06
  5. Step 5: Solve for x
    x = 134,147,669,513.06/256,506.75
  6. Step 6: Final answer
    x = 522,979.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.