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Finding the Third Proportional to 138,094 and 302,546

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Solution

The third proportional to 138,094 and 302,546 is: 662,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,094 : 302,546 = 302,546 : x
  2. Step 2: Convert to fraction form
    138,094/302,546 = 302,546/x
  3. Step 3: Cross multiply
    138,094x = 302,546 × 302,546
  4. Step 4: Simplify right side
    138,094x = 91,534,082,116
  5. Step 5: Solve for x
    x = 91,534,082,116/138,094
  6. Step 6: Final answer
    x = 662,838.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.