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Finding the Third Proportional to 194,146 and 290,931

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Solution

The third proportional to 194,146 and 290,931 is: 435,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,146 : 290,931 = 290,931 : x
  2. Step 2: Convert to fraction form
    194,146/290,931 = 290,931/x
  3. Step 3: Cross multiply
    194,146x = 290,931 × 290,931
  4. Step 4: Simplify right side
    194,146x = 84,640,846,761
  5. Step 5: Solve for x
    x = 84,640,846,761/194,146
  6. Step 6: Final answer
    x = 435,964.93

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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.