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Finding the Third Proportional to 190,731 and 288,552

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Solution

The third proportional to 190,731 and 288,552 is: 436,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,731 : 288,552 = 288,552 : x
  2. Step 2: Convert to fraction form
    190,731/288,552 = 288,552/x
  3. Step 3: Cross multiply
    190,731x = 288,552 × 288,552
  4. Step 4: Simplify right side
    190,731x = 83,262,256,704
  5. Step 5: Solve for x
    x = 83,262,256,704/190,731
  6. Step 6: Final answer
    x = 436,542.86

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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.