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Finding the Third Proportional to 220,288 and 350,114

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Solution

The third proportional to 220,288 and 350,114 is: 556,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,288 : 350,114 = 350,114 : x
  2. Step 2: Convert to fraction form
    220,288/350,114 = 350,114/x
  3. Step 3: Cross multiply
    220,288x = 350,114 × 350,114
  4. Step 4: Simplify right side
    220,288x = 122,579,812,996
  5. Step 5: Solve for x
    x = 122,579,812,996/220,288
  6. Step 6: Final answer
    x = 556,452.52

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Why These Related Problems?

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