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Finding the Third Proportional to 142,179 and 311,142

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Solution

The third proportional to 142,179 and 311,142 is: 680,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,179 : 311,142 = 311,142 : x
  2. Step 2: Convert to fraction form
    142,179/311,142 = 311,142/x
  3. Step 3: Cross multiply
    142,179x = 311,142 × 311,142
  4. Step 4: Simplify right side
    142,179x = 96,809,344,164
  5. Step 5: Solve for x
    x = 96,809,344,164/142,179
  6. Step 6: Final answer
    x = 680,897.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.