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Finding the Third Proportional to 196,557.50 and 418,853

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Solution

The third proportional to 196,557.50 and 418,853 is: 892,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,557.50 : 418,853 = 418,853 : x
  2. Step 2: Convert to fraction form
    196,557.50/418,853 = 418,853/x
  3. Step 3: Cross multiply
    196,557.50x = 418,853 × 418,853
  4. Step 4: Simplify right side
    196,557.50x = 175,437,835,609
  5. Step 5: Solve for x
    x = 175,437,835,609/196,557.50
  6. Step 6: Final answer
    x = 892,552.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.