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Finding the Third Proportional to 190,960.03 and 288,385.31

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Solution

The third proportional to 190,960.03 and 288,385.31 is: 435,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,960.03 : 288,385.31 = 288,385.31 : x
  2. Step 2: Convert to fraction form
    190,960.03/288,385.31 = 288,385.31/x
  3. Step 3: Cross multiply
    190,960.03x = 288,385.31 × 288,385.31
  4. Step 4: Simplify right side
    190,960.03x = 83,166,088,465.72
  5. Step 5: Solve for x
    x = 83,166,088,465.72/190,960.03
  6. Step 6: Final answer
    x = 435,515.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.