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Finding the Third Proportional to 114,622.50 and 251,934

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Solution

The third proportional to 114,622.50 and 251,934 is: 553,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,622.50 : 251,934 = 251,934 : x
  2. Step 2: Convert to fraction form
    114,622.50/251,934 = 251,934/x
  3. Step 3: Cross multiply
    114,622.50x = 251,934 × 251,934
  4. Step 4: Simplify right side
    114,622.50x = 63,470,740,356
  5. Step 5: Solve for x
    x = 63,470,740,356/114,622.50
  6. Step 6: Final answer
    x = 553,737.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.