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Finding the Third Proportional to 212,164 and 457,536

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Solution

The third proportional to 212,164 and 457,536 is: 986,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,164 : 457,536 = 457,536 : x
  2. Step 2: Convert to fraction form
    212,164/457,536 = 457,536/x
  3. Step 3: Cross multiply
    212,164x = 457,536 × 457,536
  4. Step 4: Simplify right side
    212,164x = 209,339,191,296
  5. Step 5: Solve for x
    x = 209,339,191,296/212,164
  6. Step 6: Final answer
    x = 986,685.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.