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Finding the Third Proportional to 185,368 and 404,716

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Solution

The third proportional to 185,368 and 404,716 is: 883,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,368 : 404,716 = 404,716 : x
  2. Step 2: Convert to fraction form
    185,368/404,716 = 404,716/x
  3. Step 3: Cross multiply
    185,368x = 404,716 × 404,716
  4. Step 4: Simplify right side
    185,368x = 163,795,040,656
  5. Step 5: Solve for x
    x = 163,795,040,656/185,368
  6. Step 6: Final answer
    x = 883,620.91

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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.