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Finding the Third Proportional to 150,048 and 216,432

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Solution

The third proportional to 150,048 and 216,432 is: 312,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,048 : 216,432 = 216,432 : x
  2. Step 2: Convert to fraction form
    150,048/216,432 = 216,432/x
  3. Step 3: Cross multiply
    150,048x = 216,432 × 216,432
  4. Step 4: Simplify right side
    150,048x = 46,842,810,624
  5. Step 5: Solve for x
    x = 46,842,810,624/150,048
  6. Step 6: Final answer
    x = 312,185.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.