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Finding the Third Proportional to 185,333.06 and 404,655.75

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Solution

The third proportional to 185,333.06 and 404,655.75 is: 883,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,333.06 : 404,655.75 = 404,655.75 : x
  2. Step 2: Convert to fraction form
    185,333.06/404,655.75 = 404,655.75/x
  3. Step 3: Cross multiply
    185,333.06x = 404,655.75 × 404,655.75
  4. Step 4: Simplify right side
    185,333.06x = 163,746,276,008.06
  5. Step 5: Solve for x
    x = 163,746,276,008.06/185,333.06
  6. Step 6: Final answer
    x = 883,524.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.