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Finding the Third Proportional to 174,492 and 276,750

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Solution

The third proportional to 174,492 and 276,750 is: 438,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,492 : 276,750 = 276,750 : x
  2. Step 2: Convert to fraction form
    174,492/276,750 = 276,750/x
  3. Step 3: Cross multiply
    174,492x = 276,750 × 276,750
  4. Step 4: Simplify right side
    174,492x = 76,590,562,500
  5. Step 5: Solve for x
    x = 76,590,562,500/174,492
  6. Step 6: Final answer
    x = 438,934.52

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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.