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Finding the Third Proportional to 196,890 and 295,271

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Solution

The third proportional to 196,890 and 295,271 is: 442,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,890 : 295,271 = 295,271 : x
  2. Step 2: Convert to fraction form
    196,890/295,271 = 295,271/x
  3. Step 3: Cross multiply
    196,890x = 295,271 × 295,271
  4. Step 4: Simplify right side
    196,890x = 87,184,963,441
  5. Step 5: Solve for x
    x = 87,184,963,441/196,890
  6. Step 6: Final answer
    x = 442,810.52

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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.