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Finding the Third Proportional to 160,971.75 and 256,233.75

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Solution

The third proportional to 160,971.75 and 256,233.75 is: 407,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,971.75 : 256,233.75 = 256,233.75 : x
  2. Step 2: Convert to fraction form
    160,971.75/256,233.75 = 256,233.75/x
  3. Step 3: Cross multiply
    160,971.75x = 256,233.75 × 256,233.75
  4. Step 4: Simplify right side
    160,971.75x = 65,655,734,639.06
  5. Step 5: Solve for x
    x = 65,655,734,639.06/160,971.75
  6. Step 6: Final answer
    x = 407,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.