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Finding the Third Proportional to 175,122 and 277,668

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Solution

The third proportional to 175,122 and 277,668 is: 440,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,122 : 277,668 = 277,668 : x
  2. Step 2: Convert to fraction form
    175,122/277,668 = 277,668/x
  3. Step 3: Cross multiply
    175,122x = 277,668 × 277,668
  4. Step 4: Simplify right side
    175,122x = 77,099,518,224
  5. Step 5: Solve for x
    x = 77,099,518,224/175,122
  6. Step 6: Final answer
    x = 440,261.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.