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Finding the Third Proportional to 193,745 and 302,097

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Solution

The third proportional to 193,745 and 302,097 is: 471,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,745 : 302,097 = 302,097 : x
  2. Step 2: Convert to fraction form
    193,745/302,097 = 302,097/x
  3. Step 3: Cross multiply
    193,745x = 302,097 × 302,097
  4. Step 4: Simplify right side
    193,745x = 91,262,597,409
  5. Step 5: Solve for x
    x = 91,262,597,409/193,745
  6. Step 6: Final answer
    x = 471,044.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.