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Finding the Third Proportional to 186,312 and 404,132

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Solution

The third proportional to 186,312 and 404,132 is: 876,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,312 : 404,132 = 404,132 : x
  2. Step 2: Convert to fraction form
    186,312/404,132 = 404,132/x
  3. Step 3: Cross multiply
    186,312x = 404,132 × 404,132
  4. Step 4: Simplify right side
    186,312x = 163,322,673,424
  5. Step 5: Solve for x
    x = 163,322,673,424/186,312
  6. Step 6: Final answer
    x = 876,608.45

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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.