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Finding the Third Proportional to 118,507 and 279,743

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Solution

The third proportional to 118,507 and 279,743 is: 660,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,507 : 279,743 = 279,743 : x
  2. Step 2: Convert to fraction form
    118,507/279,743 = 279,743/x
  3. Step 3: Cross multiply
    118,507x = 279,743 × 279,743
  4. Step 4: Simplify right side
    118,507x = 78,256,146,049
  5. Step 5: Solve for x
    x = 78,256,146,049/118,507
  6. Step 6: Final answer
    x = 660,350.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.