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Finding the Third Proportional to 197,214.75 and 431,746.88

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Solution

The third proportional to 197,214.75 and 431,746.88 is: 945,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,214.75 : 431,746.88 = 431,746.88 : x
  2. Step 2: Convert to fraction form
    197,214.75/431,746.88 = 431,746.88/x
  3. Step 3: Cross multiply
    197,214.75x = 431,746.88 × 431,746.88
  4. Step 4: Simplify right side
    197,214.75x = 186,405,364,072.27
  5. Step 5: Solve for x
    x = 186,405,364,072.27/197,214.75
  6. Step 6: Final answer
    x = 945,189.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.