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Finding the Third Proportional to 156,555 and 209,731.50

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Solution

The third proportional to 156,555 and 209,731.50 is: 280,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,555 : 209,731.50 = 209,731.50 : x
  2. Step 2: Convert to fraction form
    156,555/209,731.50 = 209,731.50/x
  3. Step 3: Cross multiply
    156,555x = 209,731.50 × 209,731.50
  4. Step 4: Simplify right side
    156,555x = 43,987,302,092.25
  5. Step 5: Solve for x
    x = 43,987,302,092.25/156,555
  6. Step 6: Final answer
    x = 280,970.28

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.