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Finding the Third Proportional to 237,084 and 354,219

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Solution

The third proportional to 237,084 and 354,219 is: 529,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,084 : 354,219 = 354,219 : x
  2. Step 2: Convert to fraction form
    237,084/354,219 = 354,219/x
  3. Step 3: Cross multiply
    237,084x = 354,219 × 354,219
  4. Step 4: Simplify right side
    237,084x = 125,471,099,961
  5. Step 5: Solve for x
    x = 125,471,099,961/237,084
  6. Step 6: Final answer
    x = 529,226.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.