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Finding the Third Proportional to 133,052 and 289,069

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Solution

The third proportional to 133,052 and 289,069 is: 628,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,052 : 289,069 = 289,069 : x
  2. Step 2: Convert to fraction form
    133,052/289,069 = 289,069/x
  3. Step 3: Cross multiply
    133,052x = 289,069 × 289,069
  4. Step 4: Simplify right side
    133,052x = 83,560,886,761
  5. Step 5: Solve for x
    x = 83,560,886,761/133,052
  6. Step 6: Final answer
    x = 628,031.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.