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Finding the Third Proportional to 186,986 and 402,484

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Solution

The third proportional to 186,986 and 402,484 is: 866,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,986 : 402,484 = 402,484 : x
  2. Step 2: Convert to fraction form
    186,986/402,484 = 402,484/x
  3. Step 3: Cross multiply
    186,986x = 402,484 × 402,484
  4. Step 4: Simplify right side
    186,986x = 161,993,370,256
  5. Step 5: Solve for x
    x = 161,993,370,256/186,986
  6. Step 6: Final answer
    x = 866,339.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.