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Finding the Third Proportional to 138,184 and 286,753

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Solution

The third proportional to 138,184 and 286,753 is: 595,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,184 : 286,753 = 286,753 : x
  2. Step 2: Convert to fraction form
    138,184/286,753 = 286,753/x
  3. Step 3: Cross multiply
    138,184x = 286,753 × 286,753
  4. Step 4: Simplify right side
    138,184x = 82,227,283,009
  5. Step 5: Solve for x
    x = 82,227,283,009/138,184
  6. Step 6: Final answer
    x = 595,056.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.