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Finding the Third Proportional to 163,302.75 and 256,617.75

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Solution

The third proportional to 163,302.75 and 256,617.75 is: 403,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,302.75 : 256,617.75 = 256,617.75 : x
  2. Step 2: Convert to fraction form
    163,302.75/256,617.75 = 256,617.75/x
  3. Step 3: Cross multiply
    163,302.75x = 256,617.75 × 256,617.75
  4. Step 4: Simplify right side
    163,302.75x = 65,852,669,615.06
  5. Step 5: Solve for x
    x = 65,852,669,615.06/163,302.75
  6. Step 6: Final answer
    x = 403,255.12

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