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Finding the Third Proportional to 110,702 and 242,185

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Solution

The third proportional to 110,702 and 242,185 is: 529,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,702 : 242,185 = 242,185 : x
  2. Step 2: Convert to fraction form
    110,702/242,185 = 242,185/x
  3. Step 3: Cross multiply
    110,702x = 242,185 × 242,185
  4. Step 4: Simplify right side
    110,702x = 58,653,574,225
  5. Step 5: Solve for x
    x = 58,653,574,225/110,702
  6. Step 6: Final answer
    x = 529,833.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.