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Finding the Third Proportional to 152,577.75 and 319,098

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Solution

The third proportional to 152,577.75 and 319,098 is: 667,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,577.75 : 319,098 = 319,098 : x
  2. Step 2: Convert to fraction form
    152,577.75/319,098 = 319,098/x
  3. Step 3: Cross multiply
    152,577.75x = 319,098 × 319,098
  4. Step 4: Simplify right side
    152,577.75x = 101,823,533,604
  5. Step 5: Solve for x
    x = 101,823,533,604/152,577.75
  6. Step 6: Final answer
    x = 667,355.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.