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Finding the Third Proportional to 161,892.75 and 353,264.25

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Solution

The third proportional to 161,892.75 and 353,264.25 is: 770,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,892.75 : 353,264.25 = 353,264.25 : x
  2. Step 2: Convert to fraction form
    161,892.75/353,264.25 = 353,264.25/x
  3. Step 3: Cross multiply
    161,892.75x = 353,264.25 × 353,264.25
  4. Step 4: Simplify right side
    161,892.75x = 124,795,630,328.06
  5. Step 5: Solve for x
    x = 124,795,630,328.06/161,892.75
  6. Step 6: Final answer
    x = 770,853.73

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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.