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Finding the Third Proportional to 233,324 and 361,974

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Solution

The third proportional to 233,324 and 361,974 is: 561,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,324 : 361,974 = 361,974 : x
  2. Step 2: Convert to fraction form
    233,324/361,974 = 361,974/x
  3. Step 3: Cross multiply
    233,324x = 361,974 × 361,974
  4. Step 4: Simplify right side
    233,324x = 131,025,176,676
  5. Step 5: Solve for x
    x = 131,025,176,676/233,324
  6. Step 6: Final answer
    x = 561,558.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.