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Finding the Third Proportional to 160,828 and 343,030

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Solution

The third proportional to 160,828 and 343,030 is: 731,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,828 : 343,030 = 343,030 : x
  2. Step 2: Convert to fraction form
    160,828/343,030 = 343,030/x
  3. Step 3: Cross multiply
    160,828x = 343,030 × 343,030
  4. Step 4: Simplify right side
    160,828x = 117,669,580,900
  5. Step 5: Solve for x
    x = 117,669,580,900/160,828
  6. Step 6: Final answer
    x = 731,648.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.