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Finding the Third Proportional to 161,046 and 353,956

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Solution

The third proportional to 161,046 and 353,956 is: 777,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,046 : 353,956 = 353,956 : x
  2. Step 2: Convert to fraction form
    161,046/353,956 = 353,956/x
  3. Step 3: Cross multiply
    161,046x = 353,956 × 353,956
  4. Step 4: Simplify right side
    161,046x = 125,284,849,936
  5. Step 5: Solve for x
    x = 125,284,849,936/161,046
  6. Step 6: Final answer
    x = 777,944.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.