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Finding the Third Proportional to 187,936.50 and 291,453

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Solution

The third proportional to 187,936.50 and 291,453 is: 451,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,936.50 : 291,453 = 291,453 : x
  2. Step 2: Convert to fraction form
    187,936.50/291,453 = 291,453/x
  3. Step 3: Cross multiply
    187,936.50x = 291,453 × 291,453
  4. Step 4: Simplify right side
    187,936.50x = 84,944,851,209
  5. Step 5: Solve for x
    x = 84,944,851,209/187,936.50
  6. Step 6: Final answer
    x = 451,986.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.