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Finding the Third Proportional to 107,265 and 228,774

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Solution

The third proportional to 107,265 and 228,774 is: 487,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,265 : 228,774 = 228,774 : x
  2. Step 2: Convert to fraction form
    107,265/228,774 = 228,774/x
  3. Step 3: Cross multiply
    107,265x = 228,774 × 228,774
  4. Step 4: Simplify right side
    107,265x = 52,337,543,076
  5. Step 5: Solve for x
    x = 52,337,543,076/107,265
  6. Step 6: Final answer
    x = 487,927.50

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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.