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Finding the Third Proportional to 194,154 and 290,943

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Solution

The third proportional to 194,154 and 290,943 is: 435,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,154 : 290,943 = 290,943 : x
  2. Step 2: Convert to fraction form
    194,154/290,943 = 290,943/x
  3. Step 3: Cross multiply
    194,154x = 290,943 × 290,943
  4. Step 4: Simplify right side
    194,154x = 84,647,829,249
  5. Step 5: Solve for x
    x = 84,647,829,249/194,154
  6. Step 6: Final answer
    x = 435,982.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.