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Finding the Third Proportional to 220,298 and 350,130

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Solution

The third proportional to 220,298 and 350,130 is: 556,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,298 : 350,130 = 350,130 : x
  2. Step 2: Convert to fraction form
    220,298/350,130 = 350,130/x
  3. Step 3: Cross multiply
    220,298x = 350,130 × 350,130
  4. Step 4: Simplify right side
    220,298x = 122,591,016,900
  5. Step 5: Solve for x
    x = 122,591,016,900/220,298
  6. Step 6: Final answer
    x = 556,478.12

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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.