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Finding the Third Proportional to 174,966.75 and 262,391.06

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Solution

The third proportional to 174,966.75 and 262,391.06 is: 393,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,966.75 : 262,391.06 = 262,391.06 : x
  2. Step 2: Convert to fraction form
    174,966.75/262,391.06 = 262,391.06/x
  3. Step 3: Cross multiply
    174,966.75x = 262,391.06 × 262,391.06
  4. Step 4: Simplify right side
    174,966.75x = 68,849,069,679.88
  5. Step 5: Solve for x
    x = 68,849,069,679.88/174,966.75
  6. Step 6: Final answer
    x = 393,498.02

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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.