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Finding the Third Proportional to 196,288 and 423,664

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Solution

The third proportional to 196,288 and 423,664 is: 914,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,288 : 423,664 = 423,664 : x
  2. Step 2: Convert to fraction form
    196,288/423,664 = 423,664/x
  3. Step 3: Cross multiply
    196,288x = 423,664 × 423,664
  4. Step 4: Simplify right side
    196,288x = 179,491,184,896
  5. Step 5: Solve for x
    x = 179,491,184,896/196,288
  6. Step 6: Final answer
    x = 914,427.70

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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.