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Finding the Third Proportional to 196,398 and 294,516

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Solution

The third proportional to 196,398 and 294,516 is: 441,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,398 : 294,516 = 294,516 : x
  2. Step 2: Convert to fraction form
    196,398/294,516 = 294,516/x
  3. Step 3: Cross multiply
    196,398x = 294,516 × 294,516
  4. Step 4: Simplify right side
    196,398x = 86,739,674,256
  5. Step 5: Solve for x
    x = 86,739,674,256/196,398
  6. Step 6: Final answer
    x = 441,652.53

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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.