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Finding the Third Proportional to 242,678.25 and 367,410.75

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Solution

The third proportional to 242,678.25 and 367,410.75 is: 556,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,678.25 : 367,410.75 = 367,410.75 : x
  2. Step 2: Convert to fraction form
    242,678.25/367,410.75 = 367,410.75/x
  3. Step 3: Cross multiply
    242,678.25x = 367,410.75 × 367,410.75
  4. Step 4: Simplify right side
    242,678.25x = 134,990,659,215.56
  5. Step 5: Solve for x
    x = 134,990,659,215.56/242,678.25
  6. Step 6: Final answer
    x = 556,253.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.