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Finding the Third Proportional to 191,003.06 and 415,175.06

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Solution

The third proportional to 191,003.06 and 415,175.06 is: 902,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,003.06 : 415,175.06 = 415,175.06 : x
  2. Step 2: Convert to fraction form
    191,003.06/415,175.06 = 415,175.06/x
  3. Step 3: Cross multiply
    191,003.06x = 415,175.06 × 415,175.06
  4. Step 4: Simplify right side
    191,003.06x = 172,370,332,521.88
  5. Step 5: Solve for x
    x = 172,370,332,521.88/191,003.06
  6. Step 6: Final answer
    x = 902,448.00

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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.