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Finding the Third Proportional to 107,248 and 228,740

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Solution

The third proportional to 107,248 and 228,740 is: 487,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,248 : 228,740 = 228,740 : x
  2. Step 2: Convert to fraction form
    107,248/228,740 = 228,740/x
  3. Step 3: Cross multiply
    107,248x = 228,740 × 228,740
  4. Step 4: Simplify right side
    107,248x = 52,321,987,600
  5. Step 5: Solve for x
    x = 52,321,987,600/107,248
  6. Step 6: Final answer
    x = 487,859.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.