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Finding the Third Proportional to 111,335.50 and 242,651

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Solution

The third proportional to 111,335.50 and 242,651 is: 528,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,335.50 : 242,651 = 242,651 : x
  2. Step 2: Convert to fraction form
    111,335.50/242,651 = 242,651/x
  3. Step 3: Cross multiply
    111,335.50x = 242,651 × 242,651
  4. Step 4: Simplify right side
    111,335.50x = 58,879,507,801
  5. Step 5: Solve for x
    x = 58,879,507,801/111,335.50
  6. Step 6: Final answer
    x = 528,847.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.