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Finding the Third Proportional to 186,659 and 288,242

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Solution

The third proportional to 186,659 and 288,242 is: 445,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,659 : 288,242 = 288,242 : x
  2. Step 2: Convert to fraction form
    186,659/288,242 = 288,242/x
  3. Step 3: Cross multiply
    186,659x = 288,242 × 288,242
  4. Step 4: Simplify right side
    186,659x = 83,083,450,564
  5. Step 5: Solve for x
    x = 83,083,450,564/186,659
  6. Step 6: Final answer
    x = 445,108.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.