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Finding the Third Proportional to 135,364 and 293,768

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Solution

The third proportional to 135,364 and 293,768 is: 637,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,364 : 293,768 = 293,768 : x
  2. Step 2: Convert to fraction form
    135,364/293,768 = 293,768/x
  3. Step 3: Cross multiply
    135,364x = 293,768 × 293,768
  4. Step 4: Simplify right side
    135,364x = 86,299,637,824
  5. Step 5: Solve for x
    x = 86,299,637,824/135,364
  6. Step 6: Final answer
    x = 637,537.59

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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.