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Finding the Third Proportional to 156,959 and 339,066

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Solution

The third proportional to 156,959 and 339,066 is: 732,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,959 : 339,066 = 339,066 : x
  2. Step 2: Convert to fraction form
    156,959/339,066 = 339,066/x
  3. Step 3: Cross multiply
    156,959x = 339,066 × 339,066
  4. Step 4: Simplify right side
    156,959x = 114,965,752,356
  5. Step 5: Solve for x
    x = 114,965,752,356/156,959
  6. Step 6: Final answer
    x = 732,457.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.