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Finding the Third Proportional to 143,316 and 194,562

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Solution

The third proportional to 143,316 and 194,562 is: 264,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,316 : 194,562 = 194,562 : x
  2. Step 2: Convert to fraction form
    143,316/194,562 = 194,562/x
  3. Step 3: Cross multiply
    143,316x = 194,562 × 194,562
  4. Step 4: Simplify right side
    143,316x = 37,854,371,844
  5. Step 5: Solve for x
    x = 37,854,371,844/143,316
  6. Step 6: Final answer
    x = 264,132.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.