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Finding the Third Proportional to 150,139.50 and 233,820

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Solution

The third proportional to 150,139.50 and 233,820 is: 364,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,139.50 : 233,820 = 233,820 : x
  2. Step 2: Convert to fraction form
    150,139.50/233,820 = 233,820/x
  3. Step 3: Cross multiply
    150,139.50x = 233,820 × 233,820
  4. Step 4: Simplify right side
    150,139.50x = 54,671,792,400
  5. Step 5: Solve for x
    x = 54,671,792,400/150,139.50
  6. Step 6: Final answer
    x = 364,139.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.