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Finding the Third Proportional to 176,370 and 270,252

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Solution

The third proportional to 176,370 and 270,252 is: 414,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,370 : 270,252 = 270,252 : x
  2. Step 2: Convert to fraction form
    176,370/270,252 = 270,252/x
  3. Step 3: Cross multiply
    176,370x = 270,252 × 270,252
  4. Step 4: Simplify right side
    176,370x = 73,036,143,504
  5. Step 5: Solve for x
    x = 73,036,143,504/176,370
  6. Step 6: Final answer
    x = 414,107.52

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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.