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Finding the Third Proportional to 212,082.50 and 461,483.50

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Solution

The third proportional to 212,082.50 and 461,483.50 is: 1,004,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,082.50 : 461,483.50 = 461,483.50 : x
  2. Step 2: Convert to fraction form
    212,082.50/461,483.50 = 461,483.50/x
  3. Step 3: Cross multiply
    212,082.50x = 461,483.50 × 461,483.50
  4. Step 4: Simplify right side
    212,082.50x = 212,967,020,772.25
  5. Step 5: Solve for x
    x = 212,967,020,772.25/212,082.50
  6. Step 6: Final answer
    x = 1,004,170.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.