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Finding the Third Proportional to 214,201.50 and 465,273

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Solution

The third proportional to 214,201.50 and 465,273 is: 1,010,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,201.50 : 465,273 = 465,273 : x
  2. Step 2: Convert to fraction form
    214,201.50/465,273 = 465,273/x
  3. Step 3: Cross multiply
    214,201.50x = 465,273 × 465,273
  4. Step 4: Simplify right side
    214,201.50x = 216,478,964,529
  5. Step 5: Solve for x
    x = 216,478,964,529/214,201.50
  6. Step 6: Final answer
    x = 1,010,632.35

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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.