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Finding the Third Proportional to 181,294.88 and 391,415.63

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Solution

The third proportional to 181,294.88 and 391,415.63 is: 845,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,294.88 : 391,415.63 = 391,415.63 : x
  2. Step 2: Convert to fraction form
    181,294.88/391,415.63 = 391,415.63/x
  3. Step 3: Cross multiply
    181,294.88x = 391,415.63 × 391,415.63
  4. Step 4: Simplify right side
    181,294.88x = 153,206,191,494.14
  5. Step 5: Solve for x
    x = 153,206,191,494.14/181,294.88
  6. Step 6: Final answer
    x = 845,066.31

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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.