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Finding the Third Proportional to 176,833 and 270,413

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Solution

The third proportional to 176,833 and 270,413 is: 413,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,833 : 270,413 = 270,413 : x
  2. Step 2: Convert to fraction form
    176,833/270,413 = 270,413/x
  3. Step 3: Cross multiply
    176,833x = 270,413 × 270,413
  4. Step 4: Simplify right side
    176,833x = 73,123,190,569
  5. Step 5: Solve for x
    x = 73,123,190,569/176,833
  6. Step 6: Final answer
    x = 413,515.52

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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.