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Finding the Third Proportional to 141,639.75 and 304,330.50

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Solution

The third proportional to 141,639.75 and 304,330.50 is: 653,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,639.75 : 304,330.50 = 304,330.50 : x
  2. Step 2: Convert to fraction form
    141,639.75/304,330.50 = 304,330.50/x
  3. Step 3: Cross multiply
    141,639.75x = 304,330.50 × 304,330.50
  4. Step 4: Simplify right side
    141,639.75x = 92,617,053,230.25
  5. Step 5: Solve for x
    x = 92,617,053,230.25/141,639.75
  6. Step 6: Final answer
    x = 653,891.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.