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Finding the Third Proportional to 151,788 and 228,172

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Solution

The third proportional to 151,788 and 228,172 is: 342,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,788 : 228,172 = 228,172 : x
  2. Step 2: Convert to fraction form
    151,788/228,172 = 228,172/x
  3. Step 3: Cross multiply
    151,788x = 228,172 × 228,172
  4. Step 4: Simplify right side
    151,788x = 52,062,461,584
  5. Step 5: Solve for x
    x = 52,062,461,584/151,788
  6. Step 6: Final answer
    x = 342,994.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.