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Finding the Third Proportional to 248,310 and 384,410.25

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Solution

The third proportional to 248,310 and 384,410.25 is: 595,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,310 : 384,410.25 = 384,410.25 : x
  2. Step 2: Convert to fraction form
    248,310/384,410.25 = 384,410.25/x
  3. Step 3: Cross multiply
    248,310x = 384,410.25 × 384,410.25
  4. Step 4: Simplify right side
    248,310x = 147,771,240,305.06
  5. Step 5: Solve for x
    x = 147,771,240,305.06/248,310
  6. Step 6: Final answer
    x = 595,107.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.