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Finding the Third Proportional to 193,663.50 and 417,918

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Solution

The third proportional to 193,663.50 and 417,918 is: 901,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,663.50 : 417,918 = 417,918 : x
  2. Step 2: Convert to fraction form
    193,663.50/417,918 = 417,918/x
  3. Step 3: Cross multiply
    193,663.50x = 417,918 × 417,918
  4. Step 4: Simplify right side
    193,663.50x = 174,655,454,724
  5. Step 5: Solve for x
    x = 174,655,454,724/193,663.50
  6. Step 6: Final answer
    x = 901,850.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.