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Finding the Third Proportional to 141,567.75 and 311,110.88

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Solution

The third proportional to 141,567.75 and 311,110.88 is: 683,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,567.75 : 311,110.88 = 311,110.88 : x
  2. Step 2: Convert to fraction form
    141,567.75/311,110.88 = 311,110.88/x
  3. Step 3: Cross multiply
    141,567.75x = 311,110.88 × 311,110.88
  4. Step 4: Simplify right side
    141,567.75x = 96,789,976,543.27
  5. Step 5: Solve for x
    x = 96,789,976,543.27/141,567.75
  6. Step 6: Final answer
    x = 683,700.75

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Why These Related Problems?

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