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Finding the Third Proportional to 158,247 and 211,392

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Solution

The third proportional to 158,247 and 211,392 is: 282,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,247 : 211,392 = 211,392 : x
  2. Step 2: Convert to fraction form
    158,247/211,392 = 211,392/x
  3. Step 3: Cross multiply
    158,247x = 211,392 × 211,392
  4. Step 4: Simplify right side
    158,247x = 44,686,577,664
  5. Step 5: Solve for x
    x = 44,686,577,664/158,247
  6. Step 6: Final answer
    x = 282,384.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.