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Finding the Third Proportional to 169,746.75 and 256,349.25

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Solution

The third proportional to 169,746.75 and 256,349.25 is: 387,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,746.75 : 256,349.25 = 256,349.25 : x
  2. Step 2: Convert to fraction form
    169,746.75/256,349.25 = 256,349.25/x
  3. Step 3: Cross multiply
    169,746.75x = 256,349.25 × 256,349.25
  4. Step 4: Simplify right side
    169,746.75x = 65,714,937,975.56
  5. Step 5: Solve for x
    x = 65,714,937,975.56/169,746.75
  6. Step 6: Final answer
    x = 387,135.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.