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Finding the Third Proportional to 174,965.06 and 256,707.56

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Solution

The third proportional to 174,965.06 and 256,707.56 is: 376,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,965.06 : 256,707.56 = 256,707.56 : x
  2. Step 2: Convert to fraction form
    174,965.06/256,707.56 = 256,707.56/x
  3. Step 3: Cross multiply
    174,965.06x = 256,707.56 × 256,707.56
  4. Step 4: Simplify right side
    174,965.06x = 65,898,772,644.69
  5. Step 5: Solve for x
    x = 65,898,772,644.69/174,965.06
  6. Step 6: Final answer
    x = 376,639.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.