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Finding the Third Proportional to 117,599.25 and 277,557.75

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Solution

The third proportional to 117,599.25 and 277,557.75 is: 655,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,599.25 : 277,557.75 = 277,557.75 : x
  2. Step 2: Convert to fraction form
    117,599.25/277,557.75 = 277,557.75/x
  3. Step 3: Cross multiply
    117,599.25x = 277,557.75 × 277,557.75
  4. Step 4: Simplify right side
    117,599.25x = 77,038,304,585.06
  5. Step 5: Solve for x
    x = 77,038,304,585.06/117,599.25
  6. Step 6: Final answer
    x = 655,091.80

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.