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Finding the Third Proportional to 188,548 and 268,758

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Solution

The third proportional to 188,548 and 268,758 is: 383,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,548 : 268,758 = 268,758 : x
  2. Step 2: Convert to fraction form
    188,548/268,758 = 268,758/x
  3. Step 3: Cross multiply
    188,548x = 268,758 × 268,758
  4. Step 4: Simplify right side
    188,548x = 72,230,862,564
  5. Step 5: Solve for x
    x = 72,230,862,564/188,548
  6. Step 6: Final answer
    x = 383,090.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.