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Finding the Third Proportional to 103,413 and 227,778

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Solution

The third proportional to 103,413 and 227,778 is: 501,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413 : 227,778 = 227,778 : x
  2. Step 2: Convert to fraction form
    103,413/227,778 = 227,778/x
  3. Step 3: Cross multiply
    103,413x = 227,778 × 227,778
  4. Step 4: Simplify right side
    103,413x = 51,882,817,284
  5. Step 5: Solve for x
    x = 51,882,817,284/103,413
  6. Step 6: Final answer
    x = 501,704.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.