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Finding the Third Proportional to 154,984.22 and 239,382

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Solution

The third proportional to 154,984.22 and 239,382 is: 369,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,984.22 : 239,382 = 239,382 : x
  2. Step 2: Convert to fraction form
    154,984.22/239,382 = 239,382/x
  3. Step 3: Cross multiply
    154,984.22x = 239,382 × 239,382
  4. Step 4: Simplify right side
    154,984.22x = 57,303,741,924
  5. Step 5: Solve for x
    x = 57,303,741,924/154,984.22
  6. Step 6: Final answer
    x = 369,739.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.