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Finding the Third Proportional to 154,444.50 and 283,260

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Solution

The third proportional to 154,444.50 and 283,260 is: 519,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,444.50 : 283,260 = 283,260 : x
  2. Step 2: Convert to fraction form
    154,444.50/283,260 = 283,260/x
  3. Step 3: Cross multiply
    154,444.50x = 283,260 × 283,260
  4. Step 4: Simplify right side
    154,444.50x = 80,236,227,600
  5. Step 5: Solve for x
    x = 80,236,227,600/154,444.50
  6. Step 6: Final answer
    x = 519,514.96

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.