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Finding the Third Proportional to 176,146 and 264,255

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Solution

The third proportional to 176,146 and 264,255 is: 396,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,146 : 264,255 = 264,255 : x
  2. Step 2: Convert to fraction form
    176,146/264,255 = 264,255/x
  3. Step 3: Cross multiply
    176,146x = 264,255 × 264,255
  4. Step 4: Simplify right side
    176,146x = 69,830,705,025
  5. Step 5: Solve for x
    x = 69,830,705,025/176,146
  6. Step 6: Final answer
    x = 396,436.51

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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.