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Finding the Third Proportional to 186,968 and 405,484

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Solution

The third proportional to 186,968 and 405,484 is: 879,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,968 : 405,484 = 405,484 : x
  2. Step 2: Convert to fraction form
    186,968/405,484 = 405,484/x
  3. Step 3: Cross multiply
    186,968x = 405,484 × 405,484
  4. Step 4: Simplify right side
    186,968x = 164,417,274,256
  5. Step 5: Solve for x
    x = 164,417,274,256/186,968
  6. Step 6: Final answer
    x = 879,387.24

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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.