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Finding the Third Proportional to 194,772 and 294,264

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Solution

The third proportional to 194,772 and 294,264 is: 444,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,772 : 294,264 = 294,264 : x
  2. Step 2: Convert to fraction form
    194,772/294,264 = 294,264/x
  3. Step 3: Cross multiply
    194,772x = 294,264 × 294,264
  4. Step 4: Simplify right side
    194,772x = 86,591,301,696
  5. Step 5: Solve for x
    x = 86,591,301,696/194,772
  6. Step 6: Final answer
    x = 444,577.77

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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.