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Finding the Third Proportional to 154,095.75 and 226,989

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Solution

The third proportional to 154,095.75 and 226,989 is: 334,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,095.75 : 226,989 = 226,989 : x
  2. Step 2: Convert to fraction form
    154,095.75/226,989 = 226,989/x
  3. Step 3: Cross multiply
    154,095.75x = 226,989 × 226,989
  4. Step 4: Simplify right side
    154,095.75x = 51,524,006,121
  5. Step 5: Solve for x
    x = 51,524,006,121/154,095.75
  6. Step 6: Final answer
    x = 334,363.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.