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Finding the Third Proportional to 194,100 and 294,654

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Solution

The third proportional to 194,100 and 294,654 is: 447,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,100 : 294,654 = 294,654 : x
  2. Step 2: Convert to fraction form
    194,100/294,654 = 294,654/x
  3. Step 3: Cross multiply
    194,100x = 294,654 × 294,654
  4. Step 4: Simplify right side
    194,100x = 86,820,979,716
  5. Step 5: Solve for x
    x = 86,820,979,716/194,100
  6. Step 6: Final answer
    x = 447,300.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.