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Finding the Third Proportional to 228,312 and 364,608

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Solution

The third proportional to 228,312 and 364,608 is: 582,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,312 : 364,608 = 364,608 : x
  2. Step 2: Convert to fraction form
    228,312/364,608 = 364,608/x
  3. Step 3: Cross multiply
    228,312x = 364,608 × 364,608
  4. Step 4: Simplify right side
    228,312x = 132,938,993,664
  5. Step 5: Solve for x
    x = 132,938,993,664/228,312
  6. Step 6: Final answer
    x = 582,268.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.