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Finding the Third Proportional to 156,405 and 334,950

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Solution

The third proportional to 156,405 and 334,950 is: 717,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,405 : 334,950 = 334,950 : x
  2. Step 2: Convert to fraction form
    156,405/334,950 = 334,950/x
  3. Step 3: Cross multiply
    156,405x = 334,950 × 334,950
  4. Step 4: Simplify right side
    156,405x = 112,191,502,500
  5. Step 5: Solve for x
    x = 112,191,502,500/156,405
  6. Step 6: Final answer
    x = 717,314.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.