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Finding the Third Proportional to 240,147 and 376,701.75

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Solution

The third proportional to 240,147 and 376,701.75 is: 590,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,147 : 376,701.75 = 376,701.75 : x
  2. Step 2: Convert to fraction form
    240,147/376,701.75 = 376,701.75/x
  3. Step 3: Cross multiply
    240,147x = 376,701.75 × 376,701.75
  4. Step 4: Simplify right side
    240,147x = 141,904,208,453.06
  5. Step 5: Solve for x
    x = 141,904,208,453.06/240,147
  6. Step 6: Final answer
    x = 590,905.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.