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Finding the Third Proportional to 117,351 and 176,573.25

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Solution

The third proportional to 117,351 and 176,573.25 is: 265,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,351 : 176,573.25 = 176,573.25 : x
  2. Step 2: Convert to fraction form
    117,351/176,573.25 = 176,573.25/x
  3. Step 3: Cross multiply
    117,351x = 176,573.25 × 176,573.25
  4. Step 4: Simplify right side
    117,351x = 31,178,112,615.56
  5. Step 5: Solve for x
    x = 31,178,112,615.56/117,351
  6. Step 6: Final answer
    x = 265,682.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.