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Finding the Third Proportional to 155,566 and 321,500

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Solution

The third proportional to 155,566 and 321,500 is: 664,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,566 : 321,500 = 321,500 : x
  2. Step 2: Convert to fraction form
    155,566/321,500 = 321,500/x
  3. Step 3: Cross multiply
    155,566x = 321,500 × 321,500
  4. Step 4: Simplify right side
    155,566x = 103,362,250,000
  5. Step 5: Solve for x
    x = 103,362,250,000/155,566
  6. Step 6: Final answer
    x = 664,427.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.