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Finding the Third Proportional to 149,424 and 228,676.50

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Solution

The third proportional to 149,424 and 228,676.50 is: 349,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,424 : 228,676.50 = 228,676.50 : x
  2. Step 2: Convert to fraction form
    149,424/228,676.50 = 228,676.50/x
  3. Step 3: Cross multiply
    149,424x = 228,676.50 × 228,676.50
  4. Step 4: Simplify right side
    149,424x = 52,292,941,652.25
  5. Step 5: Solve for x
    x = 52,292,941,652.25/149,424
  6. Step 6: Final answer
    x = 349,963.47

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