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Finding the Third Proportional to 139,009 and 303,506

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Solution

The third proportional to 139,009 and 303,506 is: 662,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,009 : 303,506 = 303,506 : x
  2. Step 2: Convert to fraction form
    139,009/303,506 = 303,506/x
  3. Step 3: Cross multiply
    139,009x = 303,506 × 303,506
  4. Step 4: Simplify right side
    139,009x = 92,115,892,036
  5. Step 5: Solve for x
    x = 92,115,892,036/139,009
  6. Step 6: Final answer
    x = 662,661.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.