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Finding the Third Proportional to 107,678 and 235,018

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Solution

The third proportional to 107,678 and 235,018 is: 512,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,678 : 235,018 = 235,018 : x
  2. Step 2: Convert to fraction form
    107,678/235,018 = 235,018/x
  3. Step 3: Cross multiply
    107,678x = 235,018 × 235,018
  4. Step 4: Simplify right side
    107,678x = 55,233,460,324
  5. Step 5: Solve for x
    x = 55,233,460,324/107,678
  6. Step 6: Final answer
    x = 512,950.28

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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.