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Finding the Third Proportional to 139,037 and 303,570

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Solution

The third proportional to 139,037 and 303,570 is: 662,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,037 : 303,570 = 303,570 : x
  2. Step 2: Convert to fraction form
    139,037/303,570 = 303,570/x
  3. Step 3: Cross multiply
    139,037x = 303,570 × 303,570
  4. Step 4: Simplify right side
    139,037x = 92,154,744,900
  5. Step 5: Solve for x
    x = 92,154,744,900/139,037
  6. Step 6: Final answer
    x = 662,807.35

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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.