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Finding the Third Proportional to 256,601.25 and 369,623.25

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Solution

The third proportional to 256,601.25 and 369,623.25 is: 532,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,601.25 : 369,623.25 = 369,623.25 : x
  2. Step 2: Convert to fraction form
    256,601.25/369,623.25 = 369,623.25/x
  3. Step 3: Cross multiply
    256,601.25x = 369,623.25 × 369,623.25
  4. Step 4: Simplify right side
    256,601.25x = 136,621,346,940.56
  5. Step 5: Solve for x
    x = 136,621,346,940.56/256,601.25
  6. Step 6: Final answer
    x = 532,426.66

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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.