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Finding the Third Proportional to 175,028.25 and 357,447.75

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Solution

The third proportional to 175,028.25 and 357,447.75 is: 729,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,028.25 : 357,447.75 = 357,447.75 : x
  2. Step 2: Convert to fraction form
    175,028.25/357,447.75 = 357,447.75/x
  3. Step 3: Cross multiply
    175,028.25x = 357,447.75 × 357,447.75
  4. Step 4: Simplify right side
    175,028.25x = 127,768,893,980.06
  5. Step 5: Solve for x
    x = 127,768,893,980.06/175,028.25
  6. Step 6: Final answer
    x = 729,990.12

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.