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Finding the Third Proportional to 241,434 and 360,870

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Solution

The third proportional to 241,434 and 360,870 is: 539,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,434 : 360,870 = 360,870 : x
  2. Step 2: Convert to fraction form
    241,434/360,870 = 360,870/x
  3. Step 3: Cross multiply
    241,434x = 360,870 × 360,870
  4. Step 4: Simplify right side
    241,434x = 130,227,156,900
  5. Step 5: Solve for x
    x = 130,227,156,900/241,434
  6. Step 6: Final answer
    x = 539,390.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.