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Finding the Third Proportional to 161,645 and 350,938

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Solution

The third proportional to 161,645 and 350,938 is: 761,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,645 : 350,938 = 350,938 : x
  2. Step 2: Convert to fraction form
    161,645/350,938 = 350,938/x
  3. Step 3: Cross multiply
    161,645x = 350,938 × 350,938
  4. Step 4: Simplify right side
    161,645x = 123,157,479,844
  5. Step 5: Solve for x
    x = 123,157,479,844/161,645
  6. Step 6: Final answer
    x = 761,900.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.