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Finding the Third Proportional to 116,953 and 252,614

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Solution

The third proportional to 116,953 and 252,614 is: 545,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,953 : 252,614 = 252,614 : x
  2. Step 2: Convert to fraction form
    116,953/252,614 = 252,614/x
  3. Step 3: Cross multiply
    116,953x = 252,614 × 252,614
  4. Step 4: Simplify right side
    116,953x = 63,813,832,996
  5. Step 5: Solve for x
    x = 63,813,832,996/116,953
  6. Step 6: Final answer
    x = 545,636.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.