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Finding the Third Proportional to 176,844 and 270,430

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Solution

The third proportional to 176,844 and 270,430 is: 413,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,844 : 270,430 = 270,430 : x
  2. Step 2: Convert to fraction form
    176,844/270,430 = 270,430/x
  3. Step 3: Cross multiply
    176,844x = 270,430 × 270,430
  4. Step 4: Simplify right side
    176,844x = 73,132,384,900
  5. Step 5: Solve for x
    x = 73,132,384,900/176,844
  6. Step 6: Final answer
    x = 413,541.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.