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Finding the Third Proportional to 193,451 and 426,130

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Solution

The third proportional to 193,451 and 426,130 is: 938,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,451 : 426,130 = 426,130 : x
  2. Step 2: Convert to fraction form
    193,451/426,130 = 426,130/x
  3. Step 3: Cross multiply
    193,451x = 426,130 × 426,130
  4. Step 4: Simplify right side
    193,451x = 181,586,776,900
  5. Step 5: Solve for x
    x = 181,586,776,900/193,451
  6. Step 6: Final answer
    x = 938,670.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.