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Finding the Third Proportional to 174,911 and 262,312

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Solution

The third proportional to 174,911 and 262,312 is: 393,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,911 : 262,312 = 262,312 : x
  2. Step 2: Convert to fraction form
    174,911/262,312 = 262,312/x
  3. Step 3: Cross multiply
    174,911x = 262,312 × 262,312
  4. Step 4: Simplify right side
    174,911x = 68,807,585,344
  5. Step 5: Solve for x
    x = 68,807,585,344/174,911
  6. Step 6: Final answer
    x = 393,386.27

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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.