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Finding the Third Proportional to 212,101.50 and 461,017

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Solution

The third proportional to 212,101.50 and 461,017 is: 1,002,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,101.50 : 461,017 = 461,017 : x
  2. Step 2: Convert to fraction form
    212,101.50/461,017 = 461,017/x
  3. Step 3: Cross multiply
    212,101.50x = 461,017 × 461,017
  4. Step 4: Simplify right side
    212,101.50x = 212,536,674,289
  5. Step 5: Solve for x
    x = 212,536,674,289/212,101.50
  6. Step 6: Final answer
    x = 1,002,051.73

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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.