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Finding the Third Proportional to 197,426.63 and 288,735.75

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Solution

The third proportional to 197,426.63 and 288,735.75 is: 422,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,426.63 : 288,735.75 = 288,735.75 : x
  2. Step 2: Convert to fraction form
    197,426.63/288,735.75 = 288,735.75/x
  3. Step 3: Cross multiply
    197,426.63x = 288,735.75 × 288,735.75
  4. Step 4: Simplify right side
    197,426.63x = 83,368,333,328.06
  5. Step 5: Solve for x
    x = 83,368,333,328.06/197,426.63
  6. Step 6: Final answer
    x = 422,275.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.