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Finding the Third Proportional to 197,070.75 and 430,953.75

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Solution

The third proportional to 197,070.75 and 430,953.75 is: 942,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,070.75 : 430,953.75 = 430,953.75 : x
  2. Step 2: Convert to fraction form
    197,070.75/430,953.75 = 430,953.75/x
  3. Step 3: Cross multiply
    197,070.75x = 430,953.75 × 430,953.75
  4. Step 4: Simplify right side
    197,070.75x = 185,721,134,639.06
  5. Step 5: Solve for x
    x = 185,721,134,639.06/197,070.75
  6. Step 6: Final answer
    x = 942,408.42

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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.