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Finding the Third Proportional to 138,270 and 295,494

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Solution

The third proportional to 138,270 and 295,494 is: 631,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,270 : 295,494 = 295,494 : x
  2. Step 2: Convert to fraction form
    138,270/295,494 = 295,494/x
  3. Step 3: Cross multiply
    138,270x = 295,494 × 295,494
  4. Step 4: Simplify right side
    138,270x = 87,316,704,036
  5. Step 5: Solve for x
    x = 87,316,704,036/138,270
  6. Step 6: Final answer
    x = 631,494.21

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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.