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Finding the Third Proportional to 154,664.75 and 232,983.84

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Solution

The third proportional to 154,664.75 and 232,983.84 is: 350,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,664.75 : 232,983.84 = 232,983.84 : x
  2. Step 2: Convert to fraction form
    154,664.75/232,983.84 = 232,983.84/x
  3. Step 3: Cross multiply
    154,664.75x = 232,983.84 × 232,983.84
  4. Step 4: Simplify right side
    154,664.75x = 54,281,471,448.52
  5. Step 5: Solve for x
    x = 54,281,471,448.52/154,664.75
  6. Step 6: Final answer
    x = 350,962.13

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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.