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Finding the Third Proportional to 195,972 and 294,222

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Solution

The third proportional to 195,972 and 294,222 is: 441,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,972 : 294,222 = 294,222 : x
  2. Step 2: Convert to fraction form
    195,972/294,222 = 294,222/x
  3. Step 3: Cross multiply
    195,972x = 294,222 × 294,222
  4. Step 4: Simplify right side
    195,972x = 86,566,585,284
  5. Step 5: Solve for x
    x = 86,566,585,284/195,972
  6. Step 6: Final answer
    x = 441,729.36

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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.