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Finding the Third Proportional to 220,266 and 350,082

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Solution

The third proportional to 220,266 and 350,082 is: 556,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,266 : 350,082 = 350,082 : x
  2. Step 2: Convert to fraction form
    220,266/350,082 = 350,082/x
  3. Step 3: Cross multiply
    220,266x = 350,082 × 350,082
  4. Step 4: Simplify right side
    220,266x = 122,557,406,724
  5. Step 5: Solve for x
    x = 122,557,406,724/220,266
  6. Step 6: Final answer
    x = 556,406.38

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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.