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Finding the Third Proportional to 182,990 and 264,276

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Solution

The third proportional to 182,990 and 264,276 is: 381,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,990 : 264,276 = 264,276 : x
  2. Step 2: Convert to fraction form
    182,990/264,276 = 264,276/x
  3. Step 3: Cross multiply
    182,990x = 264,276 × 264,276
  4. Step 4: Simplify right side
    182,990x = 69,841,804,176
  5. Step 5: Solve for x
    x = 69,841,804,176/182,990
  6. Step 6: Final answer
    x = 381,670.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.