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Finding the Third Proportional to 110,765 and 237,280

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Solution

The third proportional to 110,765 and 237,280 is: 508,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,765 : 237,280 = 237,280 : x
  2. Step 2: Convert to fraction form
    110,765/237,280 = 237,280/x
  3. Step 3: Cross multiply
    110,765x = 237,280 × 237,280
  4. Step 4: Simplify right side
    110,765x = 56,301,798,400
  5. Step 5: Solve for x
    x = 56,301,798,400/110,765
  6. Step 6: Final answer
    x = 508,299.54

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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.