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Finding the Third Proportional to 152,997 and 233,879

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Solution

The third proportional to 152,997 and 233,879 is: 357,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,997 : 233,879 = 233,879 : x
  2. Step 2: Convert to fraction form
    152,997/233,879 = 233,879/x
  3. Step 3: Cross multiply
    152,997x = 233,879 × 233,879
  4. Step 4: Simplify right side
    152,997x = 54,699,386,641
  5. Step 5: Solve for x
    x = 54,699,386,641/152,997
  6. Step 6: Final answer
    x = 357,519.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.