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Finding the Third Proportional to 131,753 and 288,112

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Solution

The third proportional to 131,753 and 288,112 is: 630,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,753 : 288,112 = 288,112 : x
  2. Step 2: Convert to fraction form
    131,753/288,112 = 288,112/x
  3. Step 3: Cross multiply
    131,753x = 288,112 × 288,112
  4. Step 4: Simplify right side
    131,753x = 83,008,524,544
  5. Step 5: Solve for x
    x = 83,008,524,544/131,753
  6. Step 6: Final answer
    x = 630,031.38

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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.