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Finding the Third Proportional to 156,961 and 339,070

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Solution

The third proportional to 156,961 and 339,070 is: 732,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,961 : 339,070 = 339,070 : x
  2. Step 2: Convert to fraction form
    156,961/339,070 = 339,070/x
  3. Step 3: Cross multiply
    156,961x = 339,070 × 339,070
  4. Step 4: Simplify right side
    156,961x = 114,968,464,900
  5. Step 5: Solve for x
    x = 114,968,464,900/156,961
  6. Step 6: Final answer
    x = 732,465.17

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Why These Related Problems?

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