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Finding the Third Proportional to 154,116 and 232,281

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Solution

The third proportional to 154,116 and 232,281 is: 350,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,116 : 232,281 = 232,281 : x
  2. Step 2: Convert to fraction form
    154,116/232,281 = 232,281/x
  3. Step 3: Cross multiply
    154,116x = 232,281 × 232,281
  4. Step 4: Simplify right side
    154,116x = 53,954,462,961
  5. Step 5: Solve for x
    x = 53,954,462,961/154,116
  6. Step 6: Final answer
    x = 350,089.95

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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.