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Finding the Third Proportional to 203,590 and 437,276

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Solution

The third proportional to 203,590 and 437,276 is: 939,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,590 : 437,276 = 437,276 : x
  2. Step 2: Convert to fraction form
    203,590/437,276 = 437,276/x
  3. Step 3: Cross multiply
    203,590x = 437,276 × 437,276
  4. Step 4: Simplify right side
    203,590x = 191,210,300,176
  5. Step 5: Solve for x
    x = 191,210,300,176/203,590
  6. Step 6: Final answer
    x = 939,192.99

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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.