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Finding the Third Proportional to 115,394 and 248,284

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Solution

The third proportional to 115,394 and 248,284 is: 534,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,394 : 248,284 = 248,284 : x
  2. Step 2: Convert to fraction form
    115,394/248,284 = 248,284/x
  3. Step 3: Cross multiply
    115,394x = 248,284 × 248,284
  4. Step 4: Simplify right side
    115,394x = 61,644,944,656
  5. Step 5: Solve for x
    x = 61,644,944,656/115,394
  6. Step 6: Final answer
    x = 534,212.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.