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Finding the Third Proportional to 72,589.50 and 156,304

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Solution

The third proportional to 72,589.50 and 156,304 is: 336,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,589.50 : 156,304 = 156,304 : x
  2. Step 2: Convert to fraction form
    72,589.50/156,304 = 156,304/x
  3. Step 3: Cross multiply
    72,589.50x = 156,304 × 156,304
  4. Step 4: Simplify right side
    72,589.50x = 24,430,940,416
  5. Step 5: Solve for x
    x = 24,430,940,416/72,589.50
  6. Step 6: Final answer
    x = 336,563.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.