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Finding the Third Proportional to 142,325 and 308,025

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Solution

The third proportional to 142,325 and 308,025 is: 666,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,325 : 308,025 = 308,025 : x
  2. Step 2: Convert to fraction form
    142,325/308,025 = 308,025/x
  3. Step 3: Cross multiply
    142,325x = 308,025 × 308,025
  4. Step 4: Simplify right side
    142,325x = 94,879,400,625
  5. Step 5: Solve for x
    x = 94,879,400,625/142,325
  6. Step 6: Final answer
    x = 666,639.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.