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Finding the Third Proportional to 221,804 and 340,932

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Solution

The third proportional to 221,804 and 340,932 is: 524,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,804 : 340,932 = 340,932 : x
  2. Step 2: Convert to fraction form
    221,804/340,932 = 340,932/x
  3. Step 3: Cross multiply
    221,804x = 340,932 × 340,932
  4. Step 4: Simplify right side
    221,804x = 116,234,628,624
  5. Step 5: Solve for x
    x = 116,234,628,624/221,804
  6. Step 6: Final answer
    x = 524,042.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.