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Finding the Third Proportional to 128,076.19 and 278,300.81

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Solution

The third proportional to 128,076.19 and 278,300.81 is: 604,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,076.19 : 278,300.81 = 278,300.81 : x
  2. Step 2: Convert to fraction form
    128,076.19/278,300.81 = 278,300.81/x
  3. Step 3: Cross multiply
    128,076.19x = 278,300.81 × 278,300.81
  4. Step 4: Simplify right side
    128,076.19x = 77,451,342,238.16
  5. Step 5: Solve for x
    x = 77,451,342,238.16/128,076.19
  6. Step 6: Final answer
    x = 604,728.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.