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Finding the Third Proportional to 196,830 and 418,263.75

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Solution

The third proportional to 196,830 and 418,263.75 is: 888,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,830 : 418,263.75 = 418,263.75 : x
  2. Step 2: Convert to fraction form
    196,830/418,263.75 = 418,263.75/x
  3. Step 3: Cross multiply
    196,830x = 418,263.75 × 418,263.75
  4. Step 4: Simplify right side
    196,830x = 174,944,564,564.06
  5. Step 5: Solve for x
    x = 174,944,564,564.06/196,830
  6. Step 6: Final answer
    x = 888,810.47

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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.