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Finding the Third Proportional to 163,305 and 256,623.75

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Solution

The third proportional to 163,305 and 256,623.75 is: 403,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,305 : 256,623.75 = 256,623.75 : x
  2. Step 2: Convert to fraction form
    163,305/256,623.75 = 256,623.75/x
  3. Step 3: Cross multiply
    163,305x = 256,623.75 × 256,623.75
  4. Step 4: Simplify right side
    163,305x = 65,855,749,064.06
  5. Step 5: Solve for x
    x = 65,855,749,064.06/163,305
  6. Step 6: Final answer
    x = 403,268.42

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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.