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Finding the Third Proportional to 196,952 and 433,268

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Solution

The third proportional to 196,952 and 433,268 is: 953,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,952 : 433,268 = 433,268 : x
  2. Step 2: Convert to fraction form
    196,952/433,268 = 433,268/x
  3. Step 3: Cross multiply
    196,952x = 433,268 × 433,268
  4. Step 4: Simplify right side
    196,952x = 187,721,159,824
  5. Step 5: Solve for x
    x = 187,721,159,824/196,952
  6. Step 6: Final answer
    x = 953,131.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.