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Finding the Third Proportional to 111,145 and 242,702

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Solution

The third proportional to 111,145 and 242,702 is: 529,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,145 : 242,702 = 242,702 : x
  2. Step 2: Convert to fraction form
    111,145/242,702 = 242,702/x
  3. Step 3: Cross multiply
    111,145x = 242,702 × 242,702
  4. Step 4: Simplify right side
    111,145x = 58,904,260,804
  5. Step 5: Solve for x
    x = 58,904,260,804/111,145
  6. Step 6: Final answer
    x = 529,976.70

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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.