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Finding the Third Proportional to 141,643.69 and 311,196.94

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Solution

The third proportional to 141,643.69 and 311,196.94 is: 683,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,643.69 : 311,196.94 = 311,196.94 : x
  2. Step 2: Convert to fraction form
    141,643.69/311,196.94 = 311,196.94/x
  3. Step 3: Cross multiply
    141,643.69x = 311,196.94 × 311,196.94
  4. Step 4: Simplify right side
    141,643.69x = 96,843,533,909.38
  5. Step 5: Solve for x
    x = 96,843,533,909.38/141,643.69
  6. Step 6: Final answer
    x = 683,712.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.