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Finding the Third Proportional to 187,404 and 289,865

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Solution

The third proportional to 187,404 and 289,865 is: 448,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,404 : 289,865 = 289,865 : x
  2. Step 2: Convert to fraction form
    187,404/289,865 = 289,865/x
  3. Step 3: Cross multiply
    187,404x = 289,865 × 289,865
  4. Step 4: Simplify right side
    187,404x = 84,021,718,225
  5. Step 5: Solve for x
    x = 84,021,718,225/187,404
  6. Step 6: Final answer
    x = 448,345.38

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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.