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Finding the Third Proportional to 161,782.31 and 353,084.06

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Solution

The third proportional to 161,782.31 and 353,084.06 is: 770,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,782.31 : 353,084.06 = 353,084.06 : x
  2. Step 2: Convert to fraction form
    161,782.31/353,084.06 = 353,084.06/x
  3. Step 3: Cross multiply
    161,782.31x = 353,084.06 × 353,084.06
  4. Step 4: Simplify right side
    161,782.31x = 124,668,355,191.50
  5. Step 5: Solve for x
    x = 124,668,355,191.50/161,782.31
  6. Step 6: Final answer
    x = 770,593.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.