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Finding the Third Proportional to 228,049 and 353,147

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Solution

The third proportional to 228,049 and 353,147 is: 546,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,049 : 353,147 = 353,147 : x
  2. Step 2: Convert to fraction form
    228,049/353,147 = 353,147/x
  3. Step 3: Cross multiply
    228,049x = 353,147 × 353,147
  4. Step 4: Simplify right side
    228,049x = 124,712,803,609
  5. Step 5: Solve for x
    x = 124,712,803,609/228,049
  6. Step 6: Final answer
    x = 546,868.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.