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Finding the Third Proportional to 220,152 and 340,150

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Solution

The third proportional to 220,152 and 340,150 is: 525,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,152 : 340,150 = 340,150 : x
  2. Step 2: Convert to fraction form
    220,152/340,150 = 340,150/x
  3. Step 3: Cross multiply
    220,152x = 340,150 × 340,150
  4. Step 4: Simplify right side
    220,152x = 115,702,022,500
  5. Step 5: Solve for x
    x = 115,702,022,500/220,152
  6. Step 6: Final answer
    x = 525,555.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.