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Finding the Third Proportional to 139,849 and 301,810

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Solution

The third proportional to 139,849 and 301,810 is: 651,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,849 : 301,810 = 301,810 : x
  2. Step 2: Convert to fraction form
    139,849/301,810 = 301,810/x
  3. Step 3: Cross multiply
    139,849x = 301,810 × 301,810
  4. Step 4: Simplify right side
    139,849x = 91,089,276,100
  5. Step 5: Solve for x
    x = 91,089,276,100/139,849
  6. Step 6: Final answer
    x = 651,340.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.