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Finding the Third Proportional to 156,570 and 209,753

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Solution

The third proportional to 156,570 and 209,753 is: 281,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,570 : 209,753 = 209,753 : x
  2. Step 2: Convert to fraction form
    156,570/209,753 = 209,753/x
  3. Step 3: Cross multiply
    156,570x = 209,753 × 209,753
  4. Step 4: Simplify right side
    156,570x = 43,996,321,009
  5. Step 5: Solve for x
    x = 43,996,321,009/156,570
  6. Step 6: Final answer
    x = 281,000.96

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Why These Related Problems?

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