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Finding the Third Proportional to 110,702 and 237,156

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Solution

The third proportional to 110,702 and 237,156 is: 508,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,702 : 237,156 = 237,156 : x
  2. Step 2: Convert to fraction form
    110,702/237,156 = 237,156/x
  3. Step 3: Cross multiply
    110,702x = 237,156 × 237,156
  4. Step 4: Simplify right side
    110,702x = 56,242,968,336
  5. Step 5: Solve for x
    x = 56,242,968,336/110,702
  6. Step 6: Final answer
    x = 508,057.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.