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Finding the Third Proportional to 117,693.75 and 257,256.75

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Solution

The third proportional to 117,693.75 and 257,256.75 is: 562,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,693.75 : 257,256.75 = 257,256.75 : x
  2. Step 2: Convert to fraction form
    117,693.75/257,256.75 = 257,256.75/x
  3. Step 3: Cross multiply
    117,693.75x = 257,256.75 × 257,256.75
  4. Step 4: Simplify right side
    117,693.75x = 66,181,035,420.56
  5. Step 5: Solve for x
    x = 66,181,035,420.56/117,693.75
  6. Step 6: Final answer
    x = 562,315.63

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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.