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Finding the Third Proportional to 156,780 and 340,938

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Solution

The third proportional to 156,780 and 340,938 is: 741,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,780 : 340,938 = 340,938 : x
  2. Step 2: Convert to fraction form
    156,780/340,938 = 340,938/x
  3. Step 3: Cross multiply
    156,780x = 340,938 × 340,938
  4. Step 4: Simplify right side
    156,780x = 116,238,719,844
  5. Step 5: Solve for x
    x = 116,238,719,844/156,780
  6. Step 6: Final answer
    x = 741,412.93

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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.