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Finding the Third Proportional to 154,984.88 and 239,383.13

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Solution

The third proportional to 154,984.88 and 239,383.13 is: 369,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,984.88 : 239,383.13 = 239,383.13 : x
  2. Step 2: Convert to fraction form
    154,984.88/239,383.13 = 239,383.13/x
  3. Step 3: Cross multiply
    154,984.88x = 239,383.13 × 239,383.13
  4. Step 4: Simplify right side
    154,984.88x = 57,304,280,534.77
  5. Step 5: Solve for x
    x = 57,304,280,534.77/154,984.88
  6. Step 6: Final answer
    x = 369,741.12

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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.