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Finding the Third Proportional to 159,255 and 240,921

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Solution

The third proportional to 159,255 and 240,921 is: 364,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,255 : 240,921 = 240,921 : x
  2. Step 2: Convert to fraction form
    159,255/240,921 = 240,921/x
  3. Step 3: Cross multiply
    159,255x = 240,921 × 240,921
  4. Step 4: Simplify right side
    159,255x = 58,042,928,241
  5. Step 5: Solve for x
    x = 58,042,928,241/159,255
  6. Step 6: Final answer
    x = 364,465.34

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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.