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Finding the Third Proportional to 152,066 and 355,325

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Solution

The third proportional to 152,066 and 355,325 is: 830,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,066 : 355,325 = 355,325 : x
  2. Step 2: Convert to fraction form
    152,066/355,325 = 355,325/x
  3. Step 3: Cross multiply
    152,066x = 355,325 × 355,325
  4. Step 4: Simplify right side
    152,066x = 126,255,855,625
  5. Step 5: Solve for x
    x = 126,255,855,625/152,066
  6. Step 6: Final answer
    x = 830,270.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.