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Finding the Third Proportional to 163,593 and 350,514

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Solution

The third proportional to 163,593 and 350,514 is: 751,010.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,593 : 350,514 = 350,514 : x
  2. Step 2: Convert to fraction form
    163,593/350,514 = 350,514/x
  3. Step 3: Cross multiply
    163,593x = 350,514 × 350,514
  4. Step 4: Simplify right side
    163,593x = 122,860,064,196
  5. Step 5: Solve for x
    x = 122,860,064,196/163,593
  6. Step 6: Final answer
    x = 751,010.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.