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Finding the Third Proportional to 174,884.06 and 386,521.88

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Solution

The third proportional to 174,884.06 and 386,521.88 is: 854,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,884.06 : 386,521.88 = 386,521.88 : x
  2. Step 2: Convert to fraction form
    174,884.06/386,521.88 = 386,521.88/x
  3. Step 3: Cross multiply
    174,884.06x = 386,521.88 × 386,521.88
  4. Step 4: Simplify right side
    174,884.06x = 149,399,159,853.52
  5. Step 5: Solve for x
    x = 149,399,159,853.52/174,884.06
  6. Step 6: Final answer
    x = 854,275.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.