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Finding the Third Proportional to 174,492 and 361,944

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Solution

The third proportional to 174,492 and 361,944 is: 750,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,492 : 361,944 = 361,944 : x
  2. Step 2: Convert to fraction form
    174,492/361,944 = 361,944/x
  3. Step 3: Cross multiply
    174,492x = 361,944 × 361,944
  4. Step 4: Simplify right side
    174,492x = 131,003,459,136
  5. Step 5: Solve for x
    x = 131,003,459,136/174,492
  6. Step 6: Final answer
    x = 750,770.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.