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Finding the Third Proportional to 117,711.75 and 257,292.75

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Solution

The third proportional to 117,711.75 and 257,292.75 is: 562,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,711.75 : 257,292.75 = 257,292.75 : x
  2. Step 2: Convert to fraction form
    117,711.75/257,292.75 = 257,292.75/x
  3. Step 3: Cross multiply
    117,711.75x = 257,292.75 × 257,292.75
  4. Step 4: Simplify right side
    117,711.75x = 66,199,559,202.56
  5. Step 5: Solve for x
    x = 66,199,559,202.56/117,711.75
  6. Step 6: Final answer
    x = 562,387.01

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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.