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Finding the Third Proportional to 241,218 and 364,284

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Solution

The third proportional to 241,218 and 364,284 is: 550,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,218 : 364,284 = 364,284 : x
  2. Step 2: Convert to fraction form
    241,218/364,284 = 364,284/x
  3. Step 3: Cross multiply
    241,218x = 364,284 × 364,284
  4. Step 4: Simplify right side
    241,218x = 132,702,832,656
  5. Step 5: Solve for x
    x = 132,702,832,656/241,218
  6. Step 6: Final answer
    x = 550,136.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.