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Finding the Third Proportional to 164,176 and 354,595

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Solution

The third proportional to 164,176 and 354,595 is: 765,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,176 : 354,595 = 354,595 : x
  2. Step 2: Convert to fraction form
    164,176/354,595 = 354,595/x
  3. Step 3: Cross multiply
    164,176x = 354,595 × 354,595
  4. Step 4: Simplify right side
    164,176x = 125,737,614,025
  5. Step 5: Solve for x
    x = 125,737,614,025/164,176
  6. Step 6: Final answer
    x = 765,870.86

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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.