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Finding the Third Proportional to 134,749 and 293,404

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Solution

The third proportional to 134,749 and 293,404 is: 638,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,749 : 293,404 = 293,404 : x
  2. Step 2: Convert to fraction form
    134,749/293,404 = 293,404/x
  3. Step 3: Cross multiply
    134,749x = 293,404 × 293,404
  4. Step 4: Simplify right side
    134,749x = 86,085,907,216
  5. Step 5: Solve for x
    x = 86,085,907,216/134,749
  6. Step 6: Final answer
    x = 638,861.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.