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Finding the Third Proportional to 156,393 and 334,930.50

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Solution

The third proportional to 156,393 and 334,930.50 is: 717,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,393 : 334,930.50 = 334,930.50 : x
  2. Step 2: Convert to fraction form
    156,393/334,930.50 = 334,930.50/x
  3. Step 3: Cross multiply
    156,393x = 334,930.50 × 334,930.50
  4. Step 4: Simplify right side
    156,393x = 112,178,439,830.25
  5. Step 5: Solve for x
    x = 112,178,439,830.25/156,393
  6. Step 6: Final answer
    x = 717,285.56

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