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Finding the Third Proportional to 196,090 and 292,671

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Solution

The third proportional to 196,090 and 292,671 is: 436,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,090 : 292,671 = 292,671 : x
  2. Step 2: Convert to fraction form
    196,090/292,671 = 292,671/x
  3. Step 3: Cross multiply
    196,090x = 292,671 × 292,671
  4. Step 4: Simplify right side
    196,090x = 85,656,314,241
  5. Step 5: Solve for x
    x = 85,656,314,241/196,090
  6. Step 6: Final answer
    x = 436,821.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.