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Finding the Third Proportional to 154,062 and 229,815

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Solution

The third proportional to 154,062 and 229,815 is: 342,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,062 : 229,815 = 229,815 : x
  2. Step 2: Convert to fraction form
    154,062/229,815 = 229,815/x
  3. Step 3: Cross multiply
    154,062x = 229,815 × 229,815
  4. Step 4: Simplify right side
    154,062x = 52,814,934,225
  5. Step 5: Solve for x
    x = 52,814,934,225/154,062
  6. Step 6: Final answer
    x = 342,816.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.