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Finding the Third Proportional to 183,321 and 383,384.25

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Solution

The third proportional to 183,321 and 383,384.25 is: 801,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,321 : 383,384.25 = 383,384.25 : x
  2. Step 2: Convert to fraction form
    183,321/383,384.25 = 383,384.25/x
  3. Step 3: Cross multiply
    183,321x = 383,384.25 × 383,384.25
  4. Step 4: Simplify right side
    183,321x = 146,983,483,148.06
  5. Step 5: Solve for x
    x = 146,983,483,148.06/183,321
  6. Step 6: Final answer
    x = 801,782.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.