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Finding the Third Proportional to 154,831.50 and 226,272.66

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Solution

The third proportional to 154,831.50 and 226,272.66 is: 330,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,831.50 : 226,272.66 = 226,272.66 : x
  2. Step 2: Convert to fraction form
    154,831.50/226,272.66 = 226,272.66/x
  3. Step 3: Cross multiply
    154,831.50x = 226,272.66 × 226,272.66
  4. Step 4: Simplify right side
    154,831.50x = 51,199,314,966.43
  5. Step 5: Solve for x
    x = 51,199,314,966.43/154,831.50
  6. Step 6: Final answer
    x = 330,677.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.