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Finding the Third Proportional to 196,511 and 461,918.50

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Solution

The third proportional to 196,511 and 461,918.50 is: 1,085,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,511 : 461,918.50 = 461,918.50 : x
  2. Step 2: Convert to fraction form
    196,511/461,918.50 = 461,918.50/x
  3. Step 3: Cross multiply
    196,511x = 461,918.50 × 461,918.50
  4. Step 4: Simplify right side
    196,511x = 213,368,700,642.25
  5. Step 5: Solve for x
    x = 213,368,700,642.25/196,511
  6. Step 6: Final answer
    x = 1,085,785.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.