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Finding the Third Proportional to 156,475.50 and 235,442.25

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Solution

The third proportional to 156,475.50 and 235,442.25 is: 354,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,475.50 : 235,442.25 = 235,442.25 : x
  2. Step 2: Convert to fraction form
    156,475.50/235,442.25 = 235,442.25/x
  3. Step 3: Cross multiply
    156,475.50x = 235,442.25 × 235,442.25
  4. Step 4: Simplify right side
    156,475.50x = 55,433,053,085.06
  5. Step 5: Solve for x
    x = 55,433,053,085.06/156,475.50
  6. Step 6: Final answer
    x = 354,260.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.