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Finding the Third Proportional to 174,602 and 377,050

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Solution

The third proportional to 174,602 and 377,050 is: 814,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,602 : 377,050 = 377,050 : x
  2. Step 2: Convert to fraction form
    174,602/377,050 = 377,050/x
  3. Step 3: Cross multiply
    174,602x = 377,050 × 377,050
  4. Step 4: Simplify right side
    174,602x = 142,166,702,500
  5. Step 5: Solve for x
    x = 142,166,702,500/174,602
  6. Step 6: Final answer
    x = 814,232.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.