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Finding the Third Proportional to 197,738.63 and 423,500.63

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Solution

The third proportional to 197,738.63 and 423,500.63 is: 907,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,738.63 : 423,500.63 = 423,500.63 : x
  2. Step 2: Convert to fraction form
    197,738.63/423,500.63 = 423,500.63/x
  3. Step 3: Cross multiply
    197,738.63x = 423,500.63 × 423,500.63
  4. Step 4: Simplify right side
    197,738.63x = 179,352,779,375.39
  5. Step 5: Solve for x
    x = 179,352,779,375.39/197,738.63
  6. Step 6: Final answer
    x = 907,019.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.