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Finding the Third Proportional to 107,388 and 230,328

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Solution

The third proportional to 107,388 and 230,328 is: 494,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,388 : 230,328 = 230,328 : x
  2. Step 2: Convert to fraction form
    107,388/230,328 = 230,328/x
  3. Step 3: Cross multiply
    107,388x = 230,328 × 230,328
  4. Step 4: Simplify right side
    107,388x = 53,050,987,584
  5. Step 5: Solve for x
    x = 53,050,987,584/107,388
  6. Step 6: Final answer
    x = 494,012.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.