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Finding the Third Proportional to 207,235.50 and 458,025

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Solution

The third proportional to 207,235.50 and 458,025 is: 1,012,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,235.50 : 458,025 = 458,025 : x
  2. Step 2: Convert to fraction form
    207,235.50/458,025 = 458,025/x
  3. Step 3: Cross multiply
    207,235.50x = 458,025 × 458,025
  4. Step 4: Simplify right side
    207,235.50x = 209,786,900,625
  5. Step 5: Solve for x
    x = 209,786,900,625/207,235.50
  6. Step 6: Final answer
    x = 1,012,311.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.