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Finding the Third Proportional to 193,489 and 293,153

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Solution

The third proportional to 193,489 and 293,153 is: 444,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,489 : 293,153 = 293,153 : x
  2. Step 2: Convert to fraction form
    193,489/293,153 = 293,153/x
  3. Step 3: Cross multiply
    193,489x = 293,153 × 293,153
  4. Step 4: Simplify right side
    193,489x = 85,938,681,409
  5. Step 5: Solve for x
    x = 85,938,681,409/193,489
  6. Step 6: Final answer
    x = 444,152.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.