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Finding the Third Proportional to 225,146.25 and 342,363.75

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Solution

The third proportional to 225,146.25 and 342,363.75 is: 520,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,146.25 : 342,363.75 = 342,363.75 : x
  2. Step 2: Convert to fraction form
    225,146.25/342,363.75 = 342,363.75/x
  3. Step 3: Cross multiply
    225,146.25x = 342,363.75 × 342,363.75
  4. Step 4: Simplify right side
    225,146.25x = 117,212,937,314.06
  5. Step 5: Solve for x
    x = 117,212,937,314.06/225,146.25
  6. Step 6: Final answer
    x = 520,607.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.