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Finding the Third Proportional to 151,764 and 228,133

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Solution

The third proportional to 151,764 and 228,133 is: 342,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,764 : 228,133 = 228,133 : x
  2. Step 2: Convert to fraction form
    151,764/228,133 = 228,133/x
  3. Step 3: Cross multiply
    151,764x = 228,133 × 228,133
  4. Step 4: Simplify right side
    151,764x = 52,044,665,689
  5. Step 5: Solve for x
    x = 52,044,665,689/151,764
  6. Step 6: Final answer
    x = 342,931.56

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Why These Related Problems?

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