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Finding the Third Proportional to 225,378 and 350,986.50

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Solution

The third proportional to 225,378 and 350,986.50 is: 546,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,378 : 350,986.50 = 350,986.50 : x
  2. Step 2: Convert to fraction form
    225,378/350,986.50 = 350,986.50/x
  3. Step 3: Cross multiply
    225,378x = 350,986.50 × 350,986.50
  4. Step 4: Simplify right side
    225,378x = 123,191,523,182.25
  5. Step 5: Solve for x
    x = 123,191,523,182.25/225,378
  6. Step 6: Final answer
    x = 546,599.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.