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Finding the Third Proportional to 156,057 and 235,153.50

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Solution

The third proportional to 156,057 and 235,153.50 is: 354,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,057 : 235,153.50 = 235,153.50 : x
  2. Step 2: Convert to fraction form
    156,057/235,153.50 = 235,153.50/x
  3. Step 3: Cross multiply
    156,057x = 235,153.50 × 235,153.50
  4. Step 4: Simplify right side
    156,057x = 55,297,168,562.25
  5. Step 5: Solve for x
    x = 55,297,168,562.25/156,057
  6. Step 6: Final answer
    x = 354,339.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.