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Finding the Third Proportional to 210,829 and 273,596

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Solution

The third proportional to 210,829 and 273,596 is: 355,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,829 : 273,596 = 273,596 : x
  2. Step 2: Convert to fraction form
    210,829/273,596 = 273,596/x
  3. Step 3: Cross multiply
    210,829x = 273,596 × 273,596
  4. Step 4: Simplify right side
    210,829x = 74,854,771,216
  5. Step 5: Solve for x
    x = 74,854,771,216/210,829
  6. Step 6: Final answer
    x = 355,049.69

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.