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Finding the Third Proportional to 175,258.13 and 262,596.94

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Solution

The third proportional to 175,258.13 and 262,596.94 is: 393,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,258.13 : 262,596.94 = 262,596.94 : x
  2. Step 2: Convert to fraction form
    175,258.13/262,596.94 = 262,596.94/x
  3. Step 3: Cross multiply
    175,258.13x = 262,596.94 × 262,596.94
  4. Step 4: Simplify right side
    175,258.13x = 68,957,151,584.38
  5. Step 5: Solve for x
    x = 68,957,151,584.38/175,258.13
  6. Step 6: Final answer
    x = 393,460.51

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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.