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Finding the Third Proportional to 163,314.75 and 256,637.25

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Solution

The third proportional to 163,314.75 and 256,637.25 is: 403,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,314.75 : 256,637.25 = 256,637.25 : x
  2. Step 2: Convert to fraction form
    163,314.75/256,637.25 = 256,637.25/x
  3. Step 3: Cross multiply
    163,314.75x = 256,637.25 × 256,637.25
  4. Step 4: Simplify right side
    163,314.75x = 65,862,678,087.56
  5. Step 5: Solve for x
    x = 65,862,678,087.56/163,314.75
  6. Step 6: Final answer
    x = 403,286.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.