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Finding the Third Proportional to 138,977.02 and 303,441.98

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Solution

The third proportional to 138,977.02 and 303,441.98 is: 662,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,977.02 : 303,441.98 = 303,441.98 : x
  2. Step 2: Convert to fraction form
    138,977.02/303,441.98 = 303,441.98/x
  3. Step 3: Cross multiply
    138,977.02x = 303,441.98 × 303,441.98
  4. Step 4: Simplify right side
    138,977.02x = 92,077,034,325.49
  5. Step 5: Solve for x
    x = 92,077,034,325.49/138,977.02
  6. Step 6: Final answer
    x = 662,534.26

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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.