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Finding the Third Proportional to 193,726.13 and 418,034.25

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Solution

The third proportional to 193,726.13 and 418,034.25 is: 902,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,726.13 : 418,034.25 = 418,034.25 : x
  2. Step 2: Convert to fraction form
    193,726.13/418,034.25 = 418,034.25/x
  3. Step 3: Cross multiply
    193,726.13x = 418,034.25 × 418,034.25
  4. Step 4: Simplify right side
    193,726.13x = 174,752,634,173.06
  5. Step 5: Solve for x
    x = 174,752,634,173.06/193,726.13
  6. Step 6: Final answer
    x = 902,060.24

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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.