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Finding the Third Proportional to 155,214 and 350,613

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Solution

The third proportional to 155,214 and 350,613 is: 791,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,214 : 350,613 = 350,613 : x
  2. Step 2: Convert to fraction form
    155,214/350,613 = 350,613/x
  3. Step 3: Cross multiply
    155,214x = 350,613 × 350,613
  4. Step 4: Simplify right side
    155,214x = 122,929,475,769
  5. Step 5: Solve for x
    x = 122,929,475,769/155,214
  6. Step 6: Final answer
    x = 791,999.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.