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Finding the Third Proportional to 110,884 and 237,320

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Solution

The third proportional to 110,884 and 237,320 is: 507,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,884 : 237,320 = 237,320 : x
  2. Step 2: Convert to fraction form
    110,884/237,320 = 237,320/x
  3. Step 3: Cross multiply
    110,884x = 237,320 × 237,320
  4. Step 4: Simplify right side
    110,884x = 56,320,782,400
  5. Step 5: Solve for x
    x = 56,320,782,400/110,884
  6. Step 6: Final answer
    x = 507,925.24

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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.