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Finding the Third Proportional to 156,982 and 223,633

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Solution

The third proportional to 156,982 and 223,633 is: 318,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 223,633 = 223,633 : x
  2. Step 2: Convert to fraction form
    156,982/223,633 = 223,633/x
  3. Step 3: Cross multiply
    156,982x = 223,633 × 223,633
  4. Step 4: Simplify right side
    156,982x = 50,011,718,689
  5. Step 5: Solve for x
    x = 50,011,718,689/156,982
  6. Step 6: Final answer
    x = 318,582.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.