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Finding the Third Proportional to 186,310 and 404,127

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Solution

The third proportional to 186,310 and 404,127 is: 876,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,310 : 404,127 = 404,127 : x
  2. Step 2: Convert to fraction form
    186,310/404,127 = 404,127/x
  3. Step 3: Cross multiply
    186,310x = 404,127 × 404,127
  4. Step 4: Simplify right side
    186,310x = 163,318,632,129
  5. Step 5: Solve for x
    x = 163,318,632,129/186,310
  6. Step 6: Final answer
    x = 876,596.17

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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.