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Finding the Third Proportional to 176,274.75 and 257,028.75

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Solution

The third proportional to 176,274.75 and 257,028.75 is: 374,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274.75 : 257,028.75 = 257,028.75 : x
  2. Step 2: Convert to fraction form
    176,274.75/257,028.75 = 257,028.75/x
  3. Step 3: Cross multiply
    176,274.75x = 257,028.75 × 257,028.75
  4. Step 4: Simplify right side
    176,274.75x = 66,063,778,326.56
  5. Step 5: Solve for x
    x = 66,063,778,326.56/176,274.75
  6. Step 6: Final answer
    x = 374,777.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.