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Finding the Third Proportional to 239,722.50 and 512,250

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Solution

The third proportional to 239,722.50 and 512,250 is: 1,094,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,722.50 : 512,250 = 512,250 : x
  2. Step 2: Convert to fraction form
    239,722.50/512,250 = 512,250/x
  3. Step 3: Cross multiply
    239,722.50x = 512,250 × 512,250
  4. Step 4: Simplify right side
    239,722.50x = 262,400,062,500
  5. Step 5: Solve for x
    x = 262,400,062,500/239,722.50
  6. Step 6: Final answer
    x = 1,094,599.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.