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Finding the Third Proportional to 162,841 and 353,533

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Solution

The third proportional to 162,841 and 353,533 is: 767,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,841 : 353,533 = 353,533 : x
  2. Step 2: Convert to fraction form
    162,841/353,533 = 353,533/x
  3. Step 3: Cross multiply
    162,841x = 353,533 × 353,533
  4. Step 4: Simplify right side
    162,841x = 124,985,582,089
  5. Step 5: Solve for x
    x = 124,985,582,089/162,841
  6. Step 6: Final answer
    x = 767,531.41

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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.