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Finding the Third Proportional to 228,049 and 357,739

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Solution

The third proportional to 228,049 and 357,739 is: 561,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,049 : 357,739 = 357,739 : x
  2. Step 2: Convert to fraction form
    228,049/357,739 = 357,739/x
  3. Step 3: Cross multiply
    228,049x = 357,739 × 357,739
  4. Step 4: Simplify right side
    228,049x = 127,977,192,121
  5. Step 5: Solve for x
    x = 127,977,192,121/228,049
  6. Step 6: Final answer
    x = 561,182.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.