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Finding the Third Proportional to 156,909 and 322,090

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Solution

The third proportional to 156,909 and 322,090 is: 661,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909 : 322,090 = 322,090 : x
  2. Step 2: Convert to fraction form
    156,909/322,090 = 322,090/x
  3. Step 3: Cross multiply
    156,909x = 322,090 × 322,090
  4. Step 4: Simplify right side
    156,909x = 103,741,968,100
  5. Step 5: Solve for x
    x = 103,741,968,100/156,909
  6. Step 6: Final answer
    x = 661,160.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.