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Finding the Third Proportional to 107,040 and 228,900

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Solution

The third proportional to 107,040 and 228,900 is: 489,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,040 : 228,900 = 228,900 : x
  2. Step 2: Convert to fraction form
    107,040/228,900 = 228,900/x
  3. Step 3: Cross multiply
    107,040x = 228,900 × 228,900
  4. Step 4: Simplify right side
    107,040x = 52,395,210,000
  5. Step 5: Solve for x
    x = 52,395,210,000/107,040
  6. Step 6: Final answer
    x = 489,491.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.