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Finding the Third Proportional to 120,842 and 265,028

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Solution

The third proportional to 120,842 and 265,028 is: 581,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,842 : 265,028 = 265,028 : x
  2. Step 2: Convert to fraction form
    120,842/265,028 = 265,028/x
  3. Step 3: Cross multiply
    120,842x = 265,028 × 265,028
  4. Step 4: Simplify right side
    120,842x = 70,239,840,784
  5. Step 5: Solve for x
    x = 70,239,840,784/120,842
  6. Step 6: Final answer
    x = 581,253.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.