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Finding the Third Proportional to 161,819 and 344,050

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Solution

The third proportional to 161,819 and 344,050 is: 731,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,819 : 344,050 = 344,050 : x
  2. Step 2: Convert to fraction form
    161,819/344,050 = 344,050/x
  3. Step 3: Cross multiply
    161,819x = 344,050 × 344,050
  4. Step 4: Simplify right side
    161,819x = 118,370,402,500
  5. Step 5: Solve for x
    x = 118,370,402,500/161,819
  6. Step 6: Final answer
    x = 731,498.79

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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.