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Finding the Third Proportional to 175,324 and 248,082

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Solution

The third proportional to 175,324 and 248,082 is: 351,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,324 : 248,082 = 248,082 : x
  2. Step 2: Convert to fraction form
    175,324/248,082 = 248,082/x
  3. Step 3: Cross multiply
    175,324x = 248,082 × 248,082
  4. Step 4: Simplify right side
    175,324x = 61,544,678,724
  5. Step 5: Solve for x
    x = 61,544,678,724/175,324
  6. Step 6: Final answer
    x = 351,033.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.