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Finding the Third Proportional to 182,268 and 245,368

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Solution

The third proportional to 182,268 and 245,368 is: 330,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,268 : 245,368 = 245,368 : x
  2. Step 2: Convert to fraction form
    182,268/245,368 = 245,368/x
  3. Step 3: Cross multiply
    182,268x = 245,368 × 245,368
  4. Step 4: Simplify right side
    182,268x = 60,205,455,424
  5. Step 5: Solve for x
    x = 60,205,455,424/182,268
  6. Step 6: Final answer
    x = 330,312.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.