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Finding the Third Proportional to 174,630.94 and 262,966.50

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Solution

The third proportional to 174,630.94 and 262,966.50 is: 395,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,630.94 : 262,966.50 = 262,966.50 : x
  2. Step 2: Convert to fraction form
    174,630.94/262,966.50 = 262,966.50/x
  3. Step 3: Cross multiply
    174,630.94x = 262,966.50 × 262,966.50
  4. Step 4: Simplify right side
    174,630.94x = 69,151,380,122.25
  5. Step 5: Solve for x
    x = 69,151,380,122.25/174,630.94
  6. Step 6: Final answer
    x = 395,985.85

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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.