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Finding the Third Proportional to 175,026 and 264,142

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Solution

The third proportional to 175,026 and 264,142 is: 398,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,026 : 264,142 = 264,142 : x
  2. Step 2: Convert to fraction form
    175,026/264,142 = 264,142/x
  3. Step 3: Cross multiply
    175,026x = 264,142 × 264,142
  4. Step 4: Simplify right side
    175,026x = 69,770,996,164
  5. Step 5: Solve for x
    x = 69,770,996,164/175,026
  6. Step 6: Final answer
    x = 398,632.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.