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Finding the Third Proportional to 161,817 and 344,046

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Solution

The third proportional to 161,817 and 344,046 is: 731,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,817 : 344,046 = 344,046 : x
  2. Step 2: Convert to fraction form
    161,817/344,046 = 344,046/x
  3. Step 3: Cross multiply
    161,817x = 344,046 × 344,046
  4. Step 4: Simplify right side
    161,817x = 118,367,650,116
  5. Step 5: Solve for x
    x = 118,367,650,116/161,817
  6. Step 6: Final answer
    x = 731,490.82

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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.