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Finding the Third Proportional to 174,786 and 382,921

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Solution

The third proportional to 174,786 and 382,921 is: 838,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,786 : 382,921 = 382,921 : x
  2. Step 2: Convert to fraction form
    174,786/382,921 = 382,921/x
  3. Step 3: Cross multiply
    174,786x = 382,921 × 382,921
  4. Step 4: Simplify right side
    174,786x = 146,628,492,241
  5. Step 5: Solve for x
    x = 146,628,492,241/174,786
  6. Step 6: Final answer
    x = 838,902.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.