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Finding the Third Proportional to 196,159.75 and 415,858.50

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Solution

The third proportional to 196,159.75 and 415,858.50 is: 881,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,159.75 : 415,858.50 = 415,858.50 : x
  2. Step 2: Convert to fraction form
    196,159.75/415,858.50 = 415,858.50/x
  3. Step 3: Cross multiply
    196,159.75x = 415,858.50 × 415,858.50
  4. Step 4: Simplify right side
    196,159.75x = 172,938,292,022.25
  5. Step 5: Solve for x
    x = 172,938,292,022.25/196,159.75
  6. Step 6: Final answer
    x = 881,619.66

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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.