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Finding the Third Proportional to 151,758 and 221,804

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Solution

The third proportional to 151,758 and 221,804 is: 324,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,758 : 221,804 = 221,804 : x
  2. Step 2: Convert to fraction form
    151,758/221,804 = 221,804/x
  3. Step 3: Cross multiply
    151,758x = 221,804 × 221,804
  4. Step 4: Simplify right side
    151,758x = 49,197,014,416
  5. Step 5: Solve for x
    x = 49,197,014,416/151,758
  6. Step 6: Final answer
    x = 324,180.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.