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Finding the Third Proportional to 152,579.75 and 221,943.75

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Solution

The third proportional to 152,579.75 and 221,943.75 is: 322,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,579.75 : 221,943.75 = 221,943.75 : x
  2. Step 2: Convert to fraction form
    152,579.75/221,943.75 = 221,943.75/x
  3. Step 3: Cross multiply
    152,579.75x = 221,943.75 × 221,943.75
  4. Step 4: Simplify right side
    152,579.75x = 49,259,028,164.06
  5. Step 5: Solve for x
    x = 49,259,028,164.06/152,579.75
  6. Step 6: Final answer
    x = 322,841.19

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.