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Finding the Third Proportional to 161,214 and 351,570

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Solution

The third proportional to 161,214 and 351,570 is: 766,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,214 : 351,570 = 351,570 : x
  2. Step 2: Convert to fraction form
    161,214/351,570 = 351,570/x
  3. Step 3: Cross multiply
    161,214x = 351,570 × 351,570
  4. Step 4: Simplify right side
    161,214x = 123,601,464,900
  5. Step 5: Solve for x
    x = 123,601,464,900/161,214
  6. Step 6: Final answer
    x = 766,691.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.