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Finding the Third Proportional to 152,094 and 220,299

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Solution

The third proportional to 152,094 and 220,299 is: 319,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,094 : 220,299 = 220,299 : x
  2. Step 2: Convert to fraction form
    152,094/220,299 = 220,299/x
  3. Step 3: Cross multiply
    152,094x = 220,299 × 220,299
  4. Step 4: Simplify right side
    152,094x = 48,531,649,401
  5. Step 5: Solve for x
    x = 48,531,649,401/152,094
  6. Step 6: Final answer
    x = 319,089.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.