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Finding the Third Proportional to 220,304 and 350,139.50

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Solution

The third proportional to 220,304 and 350,139.50 is: 556,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,304 : 350,139.50 = 350,139.50 : x
  2. Step 2: Convert to fraction form
    220,304/350,139.50 = 350,139.50/x
  3. Step 3: Cross multiply
    220,304x = 350,139.50 × 350,139.50
  4. Step 4: Simplify right side
    220,304x = 122,597,669,460.25
  5. Step 5: Solve for x
    x = 122,597,669,460.25/220,304
  6. Step 6: Final answer
    x = 556,493.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.