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Finding the Third Proportional to 160,128 and 239,616

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Solution

The third proportional to 160,128 and 239,616 is: 358,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,128 : 239,616 = 239,616 : x
  2. Step 2: Convert to fraction form
    160,128/239,616 = 239,616/x
  3. Step 3: Cross multiply
    160,128x = 239,616 × 239,616
  4. Step 4: Simplify right side
    160,128x = 57,415,827,456
  5. Step 5: Solve for x
    x = 57,415,827,456/160,128
  6. Step 6: Final answer
    x = 358,562.07

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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.