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Finding the Third Proportional to 154,251.84 and 233,018.02

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Solution

The third proportional to 154,251.84 and 233,018.02 is: 352,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,251.84 : 233,018.02 = 233,018.02 : x
  2. Step 2: Convert to fraction form
    154,251.84/233,018.02 = 233,018.02/x
  3. Step 3: Cross multiply
    154,251.84x = 233,018.02 × 233,018.02
  4. Step 4: Simplify right side
    154,251.84x = 54,297,395,605.81
  5. Step 5: Solve for x
    x = 54,297,395,605.81/154,251.84
  6. Step 6: Final answer
    x = 352,004.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.