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Finding the Third Proportional to 193,357.13 and 418,967.44

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Solution

The third proportional to 193,357.13 and 418,967.44 is: 907,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,357.13 : 418,967.44 = 418,967.44 : x
  2. Step 2: Convert to fraction form
    193,357.13/418,967.44 = 418,967.44/x
  3. Step 3: Cross multiply
    193,357.13x = 418,967.44 × 418,967.44
  4. Step 4: Simplify right side
    193,357.13x = 175,533,713,685.32
  5. Step 5: Solve for x
    x = 175,533,713,685.32/193,357.13
  6. Step 6: Final answer
    x = 907,821.29

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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.