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Finding the Third Proportional to 193,140 and 418,434.75

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Solution

The third proportional to 193,140 and 418,434.75 is: 906,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,140 : 418,434.75 = 418,434.75 : x
  2. Step 2: Convert to fraction form
    193,140/418,434.75 = 418,434.75/x
  3. Step 3: Cross multiply
    193,140x = 418,434.75 × 418,434.75
  4. Step 4: Simplify right side
    193,140x = 175,087,640,007.56
  5. Step 5: Solve for x
    x = 175,087,640,007.56/193,140
  6. Step 6: Final answer
    x = 906,532.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.