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Finding the Third Proportional to 259,225 and 370,693

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Solution

The third proportional to 259,225 and 370,693 is: 530,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,225 : 370,693 = 370,693 : x
  2. Step 2: Convert to fraction form
    259,225/370,693 = 370,693/x
  3. Step 3: Cross multiply
    259,225x = 370,693 × 370,693
  4. Step 4: Simplify right side
    259,225x = 137,413,300,249
  5. Step 5: Solve for x
    x = 137,413,300,249/259,225
  6. Step 6: Final answer
    x = 530,092.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.