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Finding the Third Proportional to 139,752 and 301,698

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Solution

The third proportional to 139,752 and 301,698 is: 651,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,752 : 301,698 = 301,698 : x
  2. Step 2: Convert to fraction form
    139,752/301,698 = 301,698/x
  3. Step 3: Cross multiply
    139,752x = 301,698 × 301,698
  4. Step 4: Simplify right side
    139,752x = 91,021,683,204
  5. Step 5: Solve for x
    x = 91,021,683,204/139,752
  6. Step 6: Final answer
    x = 651,308.63

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