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Finding the Third Proportional to 138,284 and 295,524

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Solution

The third proportional to 138,284 and 295,524 is: 631,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,284 : 295,524 = 295,524 : x
  2. Step 2: Convert to fraction form
    138,284/295,524 = 295,524/x
  3. Step 3: Cross multiply
    138,284x = 295,524 × 295,524
  4. Step 4: Simplify right side
    138,284x = 87,334,434,576
  5. Step 5: Solve for x
    x = 87,334,434,576/138,284
  6. Step 6: Final answer
    x = 631,558.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.