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Finding the Third Proportional to 209,729.25 and 325,346.63

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Solution

The third proportional to 209,729.25 and 325,346.63 is: 504,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,729.25 : 325,346.63 = 325,346.63 : x
  2. Step 2: Convert to fraction form
    209,729.25/325,346.63 = 325,346.63/x
  3. Step 3: Cross multiply
    209,729.25x = 325,346.63 × 325,346.63
  4. Step 4: Simplify right side
    209,729.25x = 105,850,426,398.89
  5. Step 5: Solve for x
    x = 105,850,426,398.89/209,729.25
  6. Step 6: Final answer
    x = 504,700.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.