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Finding the Third Proportional to 241,710 and 364,030

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Solution

The third proportional to 241,710 and 364,030 is: 548,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,710 : 364,030 = 364,030 : x
  2. Step 2: Convert to fraction form
    241,710/364,030 = 364,030/x
  3. Step 3: Cross multiply
    241,710x = 364,030 × 364,030
  4. Step 4: Simplify right side
    241,710x = 132,517,840,900
  5. Step 5: Solve for x
    x = 132,517,840,900/241,710
  6. Step 6: Final answer
    x = 548,251.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.