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Finding the Third Proportional to 194,951 and 294,551

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Solution

The third proportional to 194,951 and 294,551 is: 445,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,951 : 294,551 = 294,551 : x
  2. Step 2: Convert to fraction form
    194,951/294,551 = 294,551/x
  3. Step 3: Cross multiply
    194,951x = 294,551 × 294,551
  4. Step 4: Simplify right side
    194,951x = 86,760,291,601
  5. Step 5: Solve for x
    x = 86,760,291,601/194,951
  6. Step 6: Final answer
    x = 445,036.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.