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Finding the Third Proportional to 194,742 and 294,219

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Solution

The third proportional to 194,742 and 294,219 is: 444,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,742 : 294,219 = 294,219 : x
  2. Step 2: Convert to fraction form
    194,742/294,219 = 294,219/x
  3. Step 3: Cross multiply
    194,742x = 294,219 × 294,219
  4. Step 4: Simplify right side
    194,742x = 86,564,819,961
  5. Step 5: Solve for x
    x = 86,564,819,961/194,742
  6. Step 6: Final answer
    x = 444,510.27

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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.