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Finding the Third Proportional to 248,517 and 335,623.50

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Solution

The third proportional to 248,517 and 335,623.50 is: 453,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,517 : 335,623.50 = 335,623.50 : x
  2. Step 2: Convert to fraction form
    248,517/335,623.50 = 335,623.50/x
  3. Step 3: Cross multiply
    248,517x = 335,623.50 × 335,623.50
  4. Step 4: Simplify right side
    248,517x = 112,643,133,752.25
  5. Step 5: Solve for x
    x = 112,643,133,752.25/248,517
  6. Step 6: Final answer
    x = 453,261.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.