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Finding the Third Proportional to 234,417 and 350,082

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Solution

The third proportional to 234,417 and 350,082 is: 522,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,417 : 350,082 = 350,082 : x
  2. Step 2: Convert to fraction form
    234,417/350,082 = 350,082/x
  3. Step 3: Cross multiply
    234,417x = 350,082 × 350,082
  4. Step 4: Simplify right side
    234,417x = 122,557,406,724
  5. Step 5: Solve for x
    x = 122,557,406,724/234,417
  6. Step 6: Final answer
    x = 522,817.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.