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Finding the Third Proportional to 190,587 and 254,081.63

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Solution

The third proportional to 190,587 and 254,081.63 is: 338,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,587 : 254,081.63 = 254,081.63 : x
  2. Step 2: Convert to fraction form
    190,587/254,081.63 = 254,081.63/x
  3. Step 3: Cross multiply
    190,587x = 254,081.63 × 254,081.63
  4. Step 4: Simplify right side
    190,587x = 64,557,472,162.64
  5. Step 5: Solve for x
    x = 64,557,472,162.64/190,587
  6. Step 6: Final answer
    x = 338,729.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.