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Finding the Third Proportional to 139,716 and 301,752

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Solution

The third proportional to 139,716 and 301,752 is: 651,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,716 : 301,752 = 301,752 : x
  2. Step 2: Convert to fraction form
    139,716/301,752 = 301,752/x
  3. Step 3: Cross multiply
    139,716x = 301,752 × 301,752
  4. Step 4: Simplify right side
    139,716x = 91,054,269,504
  5. Step 5: Solve for x
    x = 91,054,269,504/139,716
  6. Step 6: Final answer
    x = 651,709.68

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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.