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Finding the Third Proportional to 221,524.88 and 334,929.94

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Solution

The third proportional to 221,524.88 and 334,929.94 is: 506,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,524.88 : 334,929.94 = 334,929.94 : x
  2. Step 2: Convert to fraction form
    221,524.88/334,929.94 = 334,929.94/x
  3. Step 3: Cross multiply
    221,524.88x = 334,929.94 × 334,929.94
  4. Step 4: Simplify right side
    221,524.88x = 112,178,063,033.75
  5. Step 5: Solve for x
    x = 112,178,063,033.75/221,524.88
  6. Step 6: Final answer
    x = 506,390.37

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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.