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Finding the Third Proportional to 223,749 and 325,057.50

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Solution

The third proportional to 223,749 and 325,057.50 is: 472,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,749 : 325,057.50 = 325,057.50 : x
  2. Step 2: Convert to fraction form
    223,749/325,057.50 = 325,057.50/x
  3. Step 3: Cross multiply
    223,749x = 325,057.50 × 325,057.50
  4. Step 4: Simplify right side
    223,749x = 105,662,378,306.25
  5. Step 5: Solve for x
    x = 105,662,378,306.25/223,749
  6. Step 6: Final answer
    x = 472,236.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.