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Finding the Third Proportional to 152,151 and 228,255

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Solution

The third proportional to 152,151 and 228,255 is: 342,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,151 : 228,255 = 228,255 : x
  2. Step 2: Convert to fraction form
    152,151/228,255 = 228,255/x
  3. Step 3: Cross multiply
    152,151x = 228,255 × 228,255
  4. Step 4: Simplify right side
    152,151x = 52,100,345,025
  5. Step 5: Solve for x
    x = 52,100,345,025/152,151
  6. Step 6: Final answer
    x = 342,425.26

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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.