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Finding the Third Proportional to 186,820.31 and 262,145.91

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Solution

The third proportional to 186,820.31 and 262,145.91 is: 367,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,820.31 : 262,145.91 = 262,145.91 : x
  2. Step 2: Convert to fraction form
    186,820.31/262,145.91 = 262,145.91/x
  3. Step 3: Cross multiply
    186,820.31x = 262,145.91 × 262,145.91
  4. Step 4: Simplify right side
    186,820.31x = 68,720,476,163.63
  5. Step 5: Solve for x
    x = 68,720,476,163.63/186,820.31
  6. Step 6: Final answer
    x = 367,842.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.