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Finding the Third Proportional to 230,025 and 353,073

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Solution

The third proportional to 230,025 and 353,073 is: 541,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,025 : 353,073 = 353,073 : x
  2. Step 2: Convert to fraction form
    230,025/353,073 = 353,073/x
  3. Step 3: Cross multiply
    230,025x = 353,073 × 353,073
  4. Step 4: Simplify right side
    230,025x = 124,660,543,329
  5. Step 5: Solve for x
    x = 124,660,543,329/230,025
  6. Step 6: Final answer
    x = 541,943.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.