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Finding the Third Proportional to 149,402 and 323,696

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Solution

The third proportional to 149,402 and 323,696 is: 701,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,402 : 323,696 = 323,696 : x
  2. Step 2: Convert to fraction form
    149,402/323,696 = 323,696/x
  3. Step 3: Cross multiply
    149,402x = 323,696 × 323,696
  4. Step 4: Simplify right side
    149,402x = 104,779,100,416
  5. Step 5: Solve for x
    x = 104,779,100,416/149,402
  6. Step 6: Final answer
    x = 701,323.28

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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.