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Finding the Third Proportional to 187,153.88 and 405,838.13

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Solution

The third proportional to 187,153.88 and 405,838.13 is: 880,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,153.88 : 405,838.13 = 405,838.13 : x
  2. Step 2: Convert to fraction form
    187,153.88/405,838.13 = 405,838.13/x
  3. Step 3: Cross multiply
    187,153.88x = 405,838.13 × 405,838.13
  4. Step 4: Simplify right side
    187,153.88x = 164,704,583,703.52
  5. Step 5: Solve for x
    x = 164,704,583,703.52/187,153.88
  6. Step 6: Final answer
    x = 880,049.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.