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Finding the Third Proportional to 160,434 and 240,651

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Solution

The third proportional to 160,434 and 240,651 is: 360,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,434 : 240,651 = 240,651 : x
  2. Step 2: Convert to fraction form
    160,434/240,651 = 240,651/x
  3. Step 3: Cross multiply
    160,434x = 240,651 × 240,651
  4. Step 4: Simplify right side
    160,434x = 57,912,903,801
  5. Step 5: Solve for x
    x = 57,912,903,801/160,434
  6. Step 6: Final answer
    x = 360,976.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.