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Finding the Third Proportional to 156,333 and 237,658.50

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Solution

The third proportional to 156,333 and 237,658.50 is: 361,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,333 : 237,658.50 = 237,658.50 : x
  2. Step 2: Convert to fraction form
    156,333/237,658.50 = 237,658.50/x
  3. Step 3: Cross multiply
    156,333x = 237,658.50 × 237,658.50
  4. Step 4: Simplify right side
    156,333x = 56,481,562,622.25
  5. Step 5: Solve for x
    x = 56,481,562,622.25/156,333
  6. Step 6: Final answer
    x = 361,290.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.