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Finding the Third Proportional to 110,850 and 237,462

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Solution

The third proportional to 110,850 and 237,462 is: 508,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,850 : 237,462 = 237,462 : x
  2. Step 2: Convert to fraction form
    110,850/237,462 = 237,462/x
  3. Step 3: Cross multiply
    110,850x = 237,462 × 237,462
  4. Step 4: Simplify right side
    110,850x = 56,388,201,444
  5. Step 5: Solve for x
    x = 56,388,201,444/110,850
  6. Step 6: Final answer
    x = 508,689.23

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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.