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Finding the Third Proportional to 203,146 and 437,511

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Solution

The third proportional to 203,146 and 437,511 is: 942,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,146 : 437,511 = 437,511 : x
  2. Step 2: Convert to fraction form
    203,146/437,511 = 437,511/x
  3. Step 3: Cross multiply
    203,146x = 437,511 × 437,511
  4. Step 4: Simplify right side
    203,146x = 191,415,875,121
  5. Step 5: Solve for x
    x = 191,415,875,121/203,146
  6. Step 6: Final answer
    x = 942,257.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.