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Finding the Third Proportional to 185,238 and 404,726

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Solution

The third proportional to 185,238 and 404,726 is: 884,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,238 : 404,726 = 404,726 : x
  2. Step 2: Convert to fraction form
    185,238/404,726 = 404,726/x
  3. Step 3: Cross multiply
    185,238x = 404,726 × 404,726
  4. Step 4: Simplify right side
    185,238x = 163,803,135,076
  5. Step 5: Solve for x
    x = 163,803,135,076/185,238
  6. Step 6: Final answer
    x = 884,284.73

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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.