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Finding the Third Proportional to 138,028 and 293,552

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Solution

The third proportional to 138,028 and 293,552 is: 624,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,028 : 293,552 = 293,552 : x
  2. Step 2: Convert to fraction form
    138,028/293,552 = 293,552/x
  3. Step 3: Cross multiply
    138,028x = 293,552 × 293,552
  4. Step 4: Simplify right side
    138,028x = 86,172,776,704
  5. Step 5: Solve for x
    x = 86,172,776,704/138,028
  6. Step 6: Final answer
    x = 624,313.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.