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Finding the Third Proportional to 216,969.50 and 470,025

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Solution

The third proportional to 216,969.50 and 470,025 is: 1,018,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,969.50 : 470,025 = 470,025 : x
  2. Step 2: Convert to fraction form
    216,969.50/470,025 = 470,025/x
  3. Step 3: Cross multiply
    216,969.50x = 470,025 × 470,025
  4. Step 4: Simplify right side
    216,969.50x = 220,923,500,625
  5. Step 5: Solve for x
    x = 220,923,500,625/216,969.50
  6. Step 6: Final answer
    x = 1,018,223.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.