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Finding the Third Proportional to 149,076 and 228,806

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Solution

The third proportional to 149,076 and 228,806 is: 351,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,076 : 228,806 = 228,806 : x
  2. Step 2: Convert to fraction form
    149,076/228,806 = 228,806/x
  3. Step 3: Cross multiply
    149,076x = 228,806 × 228,806
  4. Step 4: Simplify right side
    149,076x = 52,352,185,636
  5. Step 5: Solve for x
    x = 52,352,185,636/149,076
  6. Step 6: Final answer
    x = 351,177.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.