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Finding the Third Proportional to 212,600 and 333,534

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Solution

The third proportional to 212,600 and 333,534 is: 523,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,600 : 333,534 = 333,534 : x
  2. Step 2: Convert to fraction form
    212,600/333,534 = 333,534/x
  3. Step 3: Cross multiply
    212,600x = 333,534 × 333,534
  4. Step 4: Simplify right side
    212,600x = 111,244,929,156
  5. Step 5: Solve for x
    x = 111,244,929,156/212,600
  6. Step 6: Final answer
    x = 523,259.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.