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Finding the Third Proportional to 135,303 and 293,662

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Solution

The third proportional to 135,303 and 293,662 is: 637,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,303 : 293,662 = 293,662 : x
  2. Step 2: Convert to fraction form
    135,303/293,662 = 293,662/x
  3. Step 3: Cross multiply
    135,303x = 293,662 × 293,662
  4. Step 4: Simplify right side
    135,303x = 86,237,370,244
  5. Step 5: Solve for x
    x = 86,237,370,244/135,303
  6. Step 6: Final answer
    x = 637,364.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.