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Finding the Third Proportional to 187,259.50 and 264,966

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Solution

The third proportional to 187,259.50 and 264,966 is: 374,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,259.50 : 264,966 = 264,966 : x
  2. Step 2: Convert to fraction form
    187,259.50/264,966 = 264,966/x
  3. Step 3: Cross multiply
    187,259.50x = 264,966 × 264,966
  4. Step 4: Simplify right side
    187,259.50x = 70,206,981,156
  5. Step 5: Solve for x
    x = 70,206,981,156/187,259.50
  6. Step 6: Final answer
    x = 374,918.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.