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Finding the Third Proportional to 186,084 and 403,368

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Solution

The third proportional to 186,084 and 403,368 is: 874,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,084 : 403,368 = 403,368 : x
  2. Step 2: Convert to fraction form
    186,084/403,368 = 403,368/x
  3. Step 3: Cross multiply
    186,084x = 403,368 × 403,368
  4. Step 4: Simplify right side
    186,084x = 162,705,743,424
  5. Step 5: Solve for x
    x = 162,705,743,424/186,084
  6. Step 6: Final answer
    x = 874,367.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.