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Finding the Third Proportional to 196,223 and 423,804

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Solution

The third proportional to 196,223 and 423,804 is: 915,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,223 : 423,804 = 423,804 : x
  2. Step 2: Convert to fraction form
    196,223/423,804 = 423,804/x
  3. Step 3: Cross multiply
    196,223x = 423,804 × 423,804
  4. Step 4: Simplify right side
    196,223x = 179,609,830,416
  5. Step 5: Solve for x
    x = 179,609,830,416/196,223
  6. Step 6: Final answer
    x = 915,335.26

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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.