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Finding the Third Proportional to 139,300 and 301,928

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Solution

The third proportional to 139,300 and 301,928 is: 654,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,300 : 301,928 = 301,928 : x
  2. Step 2: Convert to fraction form
    139,300/301,928 = 301,928/x
  3. Step 3: Cross multiply
    139,300x = 301,928 × 301,928
  4. Step 4: Simplify right side
    139,300x = 91,160,517,184
  5. Step 5: Solve for x
    x = 91,160,517,184/139,300
  6. Step 6: Final answer
    x = 654,418.64

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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.