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Finding the Third Proportional to 117,617.06 and 257,747.06

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Solution

The third proportional to 117,617.06 and 257,747.06 is: 564,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,617.06 : 257,747.06 = 257,747.06 : x
  2. Step 2: Convert to fraction form
    117,617.06/257,747.06 = 257,747.06/x
  3. Step 3: Cross multiply
    117,617.06x = 257,747.06 × 257,747.06
  4. Step 4: Simplify right side
    117,617.06x = 66,433,548,227.38
  5. Step 5: Solve for x
    x = 66,433,548,227.38/117,617.06
  6. Step 6: Final answer
    x = 564,829.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.