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Finding the Third Proportional to 193,972 and 291,678

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Solution

The third proportional to 193,972 and 291,678 is: 438,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,972 : 291,678 = 291,678 : x
  2. Step 2: Convert to fraction form
    193,972/291,678 = 291,678/x
  3. Step 3: Cross multiply
    193,972x = 291,678 × 291,678
  4. Step 4: Simplify right side
    193,972x = 85,076,055,684
  5. Step 5: Solve for x
    x = 85,076,055,684/193,972
  6. Step 6: Final answer
    x = 438,599.67

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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.