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Finding the Third Proportional to 138,534 and 299,214

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Solution

The third proportional to 138,534 and 299,214 is: 646,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,534 : 299,214 = 299,214 : x
  2. Step 2: Convert to fraction form
    138,534/299,214 = 299,214/x
  3. Step 3: Cross multiply
    138,534x = 299,214 × 299,214
  4. Step 4: Simplify right side
    138,534x = 89,529,017,796
  5. Step 5: Solve for x
    x = 89,529,017,796/138,534
  6. Step 6: Final answer
    x = 646,260.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.