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Finding the Third Proportional to 185,006.53 and 404,253.28

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Solution

The third proportional to 185,006.53 and 404,253.28 is: 883,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,006.53 : 404,253.28 = 404,253.28 : x
  2. Step 2: Convert to fraction form
    185,006.53/404,253.28 = 404,253.28/x
  3. Step 3: Cross multiply
    185,006.53x = 404,253.28 × 404,253.28
  4. Step 4: Simplify right side
    185,006.53x = 163,420,715,401.39
  5. Step 5: Solve for x
    x = 163,420,715,401.39/185,006.53
  6. Step 6: Final answer
    x = 883,324.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.