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Finding the Third Proportional to 152,500 and 220,002

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Solution

The third proportional to 152,500 and 220,002 is: 317,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,500 : 220,002 = 220,002 : x
  2. Step 2: Convert to fraction form
    152,500/220,002 = 220,002/x
  3. Step 3: Cross multiply
    152,500x = 220,002 × 220,002
  4. Step 4: Simplify right side
    152,500x = 48,400,880,004
  5. Step 5: Solve for x
    x = 48,400,880,004/152,500
  6. Step 6: Final answer
    x = 317,382.82

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.