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Finding the Third Proportional to 218,156 and 475,732

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Solution

The third proportional to 218,156 and 475,732 is: 1,037,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,156 : 475,732 = 475,732 : x
  2. Step 2: Convert to fraction form
    218,156/475,732 = 475,732/x
  3. Step 3: Cross multiply
    218,156x = 475,732 × 475,732
  4. Step 4: Simplify right side
    218,156x = 226,320,935,824
  5. Step 5: Solve for x
    x = 226,320,935,824/218,156
  6. Step 6: Final answer
    x = 1,037,427.05

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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.