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Finding the Third Proportional to 196,132.50 and 415,813.50

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Solution

The third proportional to 196,132.50 and 415,813.50 is: 881,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,132.50 : 415,813.50 = 415,813.50 : x
  2. Step 2: Convert to fraction form
    196,132.50/415,813.50 = 415,813.50/x
  3. Step 3: Cross multiply
    196,132.50x = 415,813.50 × 415,813.50
  4. Step 4: Simplify right side
    196,132.50x = 172,900,866,782.25
  5. Step 5: Solve for x
    x = 172,900,866,782.25/196,132.50
  6. Step 6: Final answer
    x = 881,551.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.