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Finding the Third Proportional to 156,534.50 and 341,014

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Solution

The third proportional to 156,534.50 and 341,014 is: 742,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,534.50 : 341,014 = 341,014 : x
  2. Step 2: Convert to fraction form
    156,534.50/341,014 = 341,014/x
  3. Step 3: Cross multiply
    156,534.50x = 341,014 × 341,014
  4. Step 4: Simplify right side
    156,534.50x = 116,290,548,196
  5. Step 5: Solve for x
    x = 116,290,548,196/156,534.50
  6. Step 6: Final answer
    x = 742,906.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.