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Finding the Third Proportional to 138,080 and 295,832

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Solution

The third proportional to 138,080 and 295,832 is: 633,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,080 : 295,832 = 295,832 : x
  2. Step 2: Convert to fraction form
    138,080/295,832 = 295,832/x
  3. Step 3: Cross multiply
    138,080x = 295,832 × 295,832
  4. Step 4: Simplify right side
    138,080x = 87,516,572,224
  5. Step 5: Solve for x
    x = 87,516,572,224/138,080
  6. Step 6: Final answer
    x = 633,810.63

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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.