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Finding the Third Proportional to 136,444.50 and 279,693

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Solution

The third proportional to 136,444.50 and 279,693 is: 573,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,444.50 : 279,693 = 279,693 : x
  2. Step 2: Convert to fraction form
    136,444.50/279,693 = 279,693/x
  3. Step 3: Cross multiply
    136,444.50x = 279,693 × 279,693
  4. Step 4: Simplify right side
    136,444.50x = 78,228,174,249
  5. Step 5: Solve for x
    x = 78,228,174,249/136,444.50
  6. Step 6: Final answer
    x = 573,333.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.